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Call number: | 9789811019265:ONLINE Show nearby items on shelf |
Title: | Proceedings of the 7th International Conference on Discrete Element Methods |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XLIX, 1455 p. 966 illus p.) |
ISBN: | 9789811019265 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Computer-aided engineering , Mathematical models , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Numerical and Computational Physics, Simulation , Appl.Mathematics/Computational Methods of Engineering , Computer-Aided Engineering (CAD, CAE) and Design , Continuum Mechanics and Mechanics of Materials , Mathematical Modeling and Industrial Mathematics |
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Call number: | 9789402409994:ONLINE Show nearby items on shelf |
Title: | Lattice Quantum Chromodynamics Practical Essentials |
Author(s): |
Francesco Knechtli |
Date: | 2017 |
Size: | 1 online resource (XIII, 140 p. 12 illus., 1 illus. in color p.) |
Contents: | Quantum Field Theory (QFT) on the Lattice -- A brief history of quarks and gluons -- Classical fields and gauge invariance -- Hamiltonian and path integral formulations of quantum mechanics -- Quantum fields on a lattice -- Recovering |
continuum QCD -- Further reading -- Monte Carlo methods -- Markov chain Monte Carlo -- Sampling Yang–Mills gauge fields -- Hybrid Monte Carlo -- Symplectic integration schemes -- Summary and Further reading -- Handling fermions on the | |
lattice -- Wick contractions -- Sparse Linear Algebra -- Fermion determinant -- HMC with fermions revisited -- The quark propagator from a point source -- All-to-all quark propagators -- Summary and Further reading -- Calculating | |
observables of quantum fields -- Symmetry properties of creation and annihilation operators -- Techniques for hadron spectroscopy -- Gluons, Wilson Loops and glueballs -- Quarks and hadron physics -- Statistical data analysis -- | |
Summary -- A Notational conventions -- A.1 SU(N) notation -- A.2 Fermions -- A.3 Probability spaces -- References | |
ISBN: | 9789402409994 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Computers , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Elementary Particles, Quantum Field Theory , Computing Methodologies , Mathematical Physics |
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Call number: | 9783319445373:ONLINE Show nearby items on shelf |
Title: | Statistical Physics A Prelude and Fugue for Engineers |
Author(s): |
Roberto Piazza |
Date: | 2017 |
Size: | 1 online resource (XV, 453 p. 59 illus p.) |
Contents: | 1 Playing by ear -- 2 The stave and the treble clef -- 3 Easy rhythms and melodies -- 4 Fluid chords -- 5 Scales in crescendo -- 6 Indistinguishable harmonies -- A Mathematical notes -- B Statistical entropy -- C The Boltzmann |
equation -- D Brownian motion and diffusion processes | |
ISBN: | 9783319445373 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Chemical engineering , System theory , Condensed matter , Continuum mechanics , Physics , Complex Systems , Condensed Matter Physics , Industrial Chemistry/Chemical Engineering , Continuum Mechanics and Mechanics of Materials , Statistical Physics and Dynamical Systems |
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Call number: | 9783319441474:ONLINE Show nearby items on shelf |
Title: | Classical Mechanics Hamiltonian and Lagrangian Formalism |
Author(s): |
Alexei Deriglazov |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVI, 445 p. 53 illus p.) |
Contents: | Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting |
-- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index | |
ISBN: | 9783319441474 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Classical Mechanics , Theoretical, Mathematical and Computational Physics , Continuum Mechanics and Mechanics of Materials , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | TA647.C75::1991:V2 Show nearby items on shelf |
Title: | Non-linear finite element analysis of solids and structures v.2 Advanced topics |
Author(s): |
M. A. Crisfield |
Date: | 1997 |
Publisher: | Wiley |
Contents: | More Continuum Mechanics |
Non-Orthogonal Coordinates and Co- and Contravariant Tensor Components | |
More Finite Element Analysis of Continua | |
Large Strains, Hyperelasticity and Rubber | |
More Plasticity and Other Material Non-Linearity I. More Plasticity and Other Material Non-Linearity II | |
Large Rotations | |
Three-Dimensional Formulations for Beams and Rods | |
More on Continuum and Shell Elements | |
Large Strains and Plasticity | |
Stability Theory | |
Branch Switching and Further Advanced Solution Procedures | |
Examples from an Updated Non-Linear Finite Element Computer Program Using Truss Elements | |
Contact with Friction | |
Non-Linear Dynamics | |
ISBN: | 047195649x |
Keywords: | Structural analysis (Engineering) Data processing , Finite element method Data processing , Structures Analysis |
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Location: | MAIN |
Call number: | SPRINGER-2016-9788847057739:ONLINE Show nearby items on shelf |
Title: | Meccanica Razionale |
Author(s): |
Paolo Biscari |
Date: | 2016 |
Edition: | 3a edizione |
Size: | 1 online resource (404 p.) |
Note: | 10.1007/978-88-470-5773-9 |
Contents: | 1 Cinematica del punto -- 2 Cinematica del corpo rigido -- 3 Cinematica relativa -- 4 Sistemi vincolati -- 5 Geometria delle masse -- 6 Forze, lavoro, potenziale -- 7 Leggi della Meccanica -- 8 Statica -- 9 Dinamica del punto materiale -- 10 Dinami ca dei sistemi -- 11 Dinamica del corpo rigido -- 12 Meccanica Relativa -- 13 Meccanica Langragiana -- 14 Statica dei continui monodimensionali -- 15 Richiami di calcolo |
ISBN: | 9788847057739 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | UNITEXT: 93 |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Mathematical physics , Mechanics , Continuum mechanics , Mathematics , Mathematical Physics , Mechanics , Applications of Mathematics , Continuum Mechanics and Mechanics of Materials |
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Call number: | SPRINGER-2016-9783662494516:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Conservation Laws in Continuum Physics |
Author(s): |
Constantine M Dafermos |
Date: | 2016 |
Edition: | 4th ed. 2016 |
Size: | 1 online resource (826 p.) |
Note: | 10.1007/978-3-662-49451-6 |
ISBN: | 9783662494516 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Partial differential equations , Mechanics , Fluids , Thermodynamics , Continuum mechanics , Mathematics , Partial Differential Equations , Thermodynamics , Mechanics , Continuum Mechanics and Mechanics of Materials , Fluid- and Aerodynamics |
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Call number: | SPRINGER-2016-9783662479377:ONLINE Show nearby items on shelf |
Title: | Vibro-Acoustics, Volume 3 |
Author(s): |
Anders Nilsson |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (1 p.) |
Note: | 10.1007/978-3-662-47937-7 |
Contents: | Problems -- Solutions -- Summary of Result |
ISBN: | 9783662479377 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Energy systems , Acoustics , Continuum mechanics , Vibration , Dynamical systems , Dynamics , Noise control , Physics , Acoustics , Energy Systems , Noise Control , Vibration, Dynamical Systems, Control , Continuum Mechanics and Mechanics of Materials |
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Call number: | SPRINGER-2016-9783662479346:ONLINE Show nearby items on shelf |
Title: | Vibro-Acoustics, Volume 2 |
Author(s): |
Anders Nilsson |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (17 p.) |
Note: | 10.1007/978-3-662-47934-6 |
Contents: | Hamilton’s Principle and Some Other Variational Methods -- Structural Coupling between Simple Systems -- Waves in Fluids -- Fluid Structure Interaction and Radiation of Sound -- Sound Transmission Loss of Panels -- Waveguides -- |
Random Excitation of Structures -- Transmission of Sound in Built up Structures | |
ISBN: | 9783662479346 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Energy systems , Acoustics , Continuum mechanics , Vibration , Dynamical systems , Dynamics , Noise control , Physics , Acoustics , Energy Systems , Noise Control , Vibration, Dynamical Systems, Control , Continuum Mechanics and Mechanics of Materials |
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Call number: | SPRINGER-2016-9783319401294:ONLINE Show nearby items on shelf |
Title: | Theoretical Physics 2 Analytical Mechanics |
Author(s): |
Wolfgang Nolting |
Date: | 2016 |
Size: | 1 online resource (16 p.) |
Note: | 10.1007/978-3-319-40129-4 |
Contents: | Lagrange Mechanics -- Hamilton Mechanics -- Hamilton-Jacobi Theory -- Solutions of the Exercises |
ISBN: | 9783319401294 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mechanics , Continuum mechanics , Mechanical engineering , Physics , Mechanics , Mathematical Methods in Physics , Continuum Mechanics and Mechanics of Materials , Mechanical Engineering |
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Call number: | SPRINGER-2016-9783319401089:ONLINE Show nearby items on shelf |
Title: | Theoretical Physics 1 Classical Mechanics |
Author(s): |
Wolfgang Nolting |
Date: | 2016 |
Size: | 1 online resource (37 p.) |
Note: | 10.1007/978-3-319-40108-9 |
Contents: | Mathematical Preparations -- Mechanics of the Free Mass Point -- Mechanics of Many-Particle Systems -- The Rigid Body -- Solutions of the Eexercises |
ISBN: | 9783319401089 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mechanics , Continuum mechanics , Physics , Mechanics , Mathematical Methods in Physics , Continuum Mechanics and Mechanics of Materials |
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Call number: | SPRINGER-2016-9783319316918:ONLINE Show nearby items on shelf |
Title: | Physics: The Ultimate Adventure |
Author(s): |
Ross Barrett |
Date: | 2016 |
Size: | 1 online resource (25 p.) |
Note: | 10.1007/978-3-319-31691-8 |
Contents: | The Whats and Wherefores of Physics -- Dramatis Personae (The Actors) -- Is Physics an Exact Science? -- Newton and Beyond -- Statistical Mechanics and Thermodynamics -- Electromagnetism and Cracks in the Edifice of Classical Physics |
-- Relativity -- Quantum Mechanics -- Atomic and Nuclear Physics -- Fields and Particles -- Cosmology -- Complexity -- Conclusions and Philosophical Implications | |
ISBN: | 9783319316918 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum physics , Continuum physics , Astronomy , Astrophysics , Cosmology , Elementary particles (Physics) , Quantum field theory , Physics , Astronomy, Astrophysics and Cosmology , History and Philosophical Foundations of Physics , Quantum Physics , Popular Science in Physics , Classical Continuum Physics , Elementary Particles, Quantum Field Theory |
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Call number: | SPRINGER-2016-9783319216775:ONLINE Show nearby items on shelf |
Title: | Classical and Quantum Dynamics From Classical Paths to Path Integrals |
Author(s): |
Walter Dittrich |
Date: | 2016 |
Edition: | 4th ed. 2016 |
Size: | 1 online resource (461 p.) |
Note: | 10.1007/978-3-319-21677-5 |
Contents: | Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points.-Canonical Transformations -- The Hamilton–Jacobi |
Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory -- | |
Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincaré Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for | |
Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB | |
Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern–Simons Mechanics -- Semiclassical Quantization -- The “Maslov Anomaly” for the Harmonic | |
Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry’s Phase -- Classical Analogues to Berry’s Phase -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Appendix -- Solutions | |
-- Index | |
ISBN: | 9783319216775 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mathematical physics , Quantum physics , Continuum physics , Nuclear physics , Physics , Quantum Physics , Classical Continuum Physics , Mathematical Applications in the Physical Sciences , Particle and Nuclear Physics |
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Call number: | SPRINGER-2016-9781493933815:ONLINE Show nearby items on shelf |
Title: | Waves and Compressible Flow |
Author(s): |
Hilary Ockendon |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (243 p.) |
Note: | 10.1007/978-1-4939-3381-5 |
Contents: | Introduction -- The Equations of Inviscid Compressible Flow -- Models for Linear Wave Propagation -- Theories for Linear Waves -- Nonlinear Waves in Fluids -- Shock Waves -- Epilogue |
ISBN: | 9781493933815 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Texts in Applied Mathematics: 47 |
Keywords: | Mathematics , Mathematical models , Mathematical physics , Continuum physics , Fluid mechanics , Mathematics , Mathematical Modeling and Industrial Mathematics , Engineering Fluid Dynamics , Classical Continuum Physics , Mathematical Physics |
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Call number: | SPRINGER-2014-9789462390157:ONLINE Show nearby items on shelf |
Title: | Mathematical Models for Poroelastic Flows [electronic resource] |
Author(s): |
Anvarbek Meirmanov |
Date: | 2014 |
Publisher: | Paris : Atlantis Press : Imprint: Atlantis Press |
Size: | 1 online resource |
Note: | The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of theelastic skeleton and th e fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations stillhold at this scale of the pore size in the order of 5 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical modelsdescribe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtrationand acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method |
Contents: | Isothermal Liquid Filtration |
Filtration of a compressible thermo | |
fluid | |
Hydraulic shock in incompressible poroelastic media | |
Double porosity models for a liquid filtration | |
Filtration in composite incompressible media | |
Isothermal acoustics in poroelastic media | |
Non | |
isothermal acoustics in poroelastic media | |
Isothermal acoustics in composite media | |
Double porosity models for acoustics | |
Diffusion and convection in porous media | |
The Muskat problem | |
ISBN: | 9789462390157 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Atlantis Studies in Differential Equations, 2214-6253 : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mathematical physics , Mechanics |
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Call number: | SPRINGER-2014-9788847028050:ONLINE Show nearby items on shelf |
Title: | Introduction to Solid State Physics and Crystalline Nanostructures [electronic resource] |
Author(s): |
Giuseppe Iadonisi Giovanni Cantele Maria Luisa Chiofalo |
Date: | 2014 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook provides conceptual, procedural, and factual knowledge on solid state and nanostructure physics. It is designed to acquaint readers with key concepts and their connections, to stimulate intuition and curiosity, andto enable the acquisit ion of competences in general strategies and specific procedures for problem solving and their use in specific applications. To these ends, a multidisciplinary approach is adopted, integrating physics, chemistry,and engineering and reflecting how these di sciplines are converging towards common tools and languages in the field. Each chapter discusses essential ideas before the introduction of formalisms and the stepwise addition ofcomplications. Questions on everyday manifestations of the concepts are incl uded, with reasoned linking of ideas from different chapters and sections and further detail in the appendices. The final section of each chapter describesexperimental methods and strategies that can be used to probe the phenomena under discussion. Solid state and nanostructure physics is constantly growing as a field of study where the fascinating quantum world emerges and otherwiseimaginary things can become real, engineered with increasing creativity and control: from tinier and faster technologies rea lizing quantum information concepts, to understanding of the fundamental laws of Physics. Elements of SolidState Physics and of Crystalline Nanostructures will offer the reader an enjoyable insight into the complex concepts of solid state physics |
Contents: | Crystals and Nanosystems Structure |
Electronic structure of nanosystems and crystals | |
Elements of continuum mechanics and lattice vibrations | |
Transport and Equilibrium Properties | |
Optical Properties | |
Correlations and Density Functional Theory | |
ISBN: | 9788847028050 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT for Physics, 2198-7882 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Nanochemistry , Crystallography , Mechanical engineering , Nanotechnology |
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Call number: | SPRINGER-2014-9783642395246:ONLINE Show nearby items on shelf |
Title: | Modeling and Simulation [electronic resource] : An Application-Oriented Introduction |
Author(s): |
Hans-Joachim Bungartz Stefan Zimmer Martin Buchholz Dirk Pflger |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversityof approaches that ca n be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstractmodels. Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, from model derivation to the simulation, is applied to 14 example scenarios from diverse fields such asGame theory - deciding - planning, Traffic on highways and data highways, Dynamical systems and Physics in the computer. Whether it is game theory or mathematical finance, traffic or control theory, populationdynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way |
Contents: | 1 Introduction |
2 The necessary instruments in brief | |
Part I Playing deciding planning: A modeling warm | |
up | |
3 Game theory | |
4 Group decisions | |
5 Schedules | |
6 Wiener processes | |
Part II Traffic on highways and data highways: A trip through the simulation pipeline | |
7 Macroscopic simulation of traffic | |
8 Microscopic simulation of traffic | |
9 Stochastic traffic simulations | |
Part III Dynamic systems: Cause, effect and interaction | |
10 Population dynamics | |
11 Controllers | |
12 Chaos theory | |
Part IV Physics on the computer: The switch to number crunchers | |
13 Molecula | |
ISBN: | 9783642395246 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Computer science Mathematics , Computer science |
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Call number: | SPRINGER-2014-9783319053110:ONLINE Show nearby items on shelf |
Title: | Inequalities [electronic resource] : With Applications to Engineering |
Author(s): |
Michael J Cloud Byron C Drachman Leonid P Lebedev |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra andcalculusandproceeds with a present ation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, andinner product spaces. It also provides full coverage of th e central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hlder's inequality, Minkowski's inequality, the CauchySchwarzinequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The sec ond edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additionalexamples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate stu dents, as well asresearchers in engineering, mathematics, physics, chemistry, or any other quantitative science |
Contents: | Preface |
1. Basic Review and Elementary Facts | |
2. Methods from the Calculus | |
3. Some Standard Inequalities | |
4. Inequalities in Abstract Spaces | |
5. Some Applications | |
6. Inequalities for Differential Equations | |
7. Brief Introduction to Interval Analysis | |
Hints for Selected Problems | |
References | |
Appendix | |
ISBN: | 9783319053110 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions, special , Engineering mathematics |
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Call number: | SPRINGER-2014-9783319035512:ONLINE Show nearby items on shelf |
Title: | Soft Solids [electronic resource] : A Primer to the Theoretical Mechanics of Materials |
Author(s): |
Alan D Freed |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors andmasters-level graduate stude nts in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids isrelevant. Soft Solids: A Primer to the Theoretica l Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of softsolids. Part II presents two distinct theories of elasticity and their asso ciated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterizematerials. These problems are discussed at the end of each chapter, giving students the opportu nity to apply what they learned in the current chapter and to build upon the material in prior chapters |
Contents: | Part I: Continuum Fields |
1Kinematics | |
2Deformation | |
3Strain | |
4Stress | |
Part II: Constitutive Equations | |
5Explicit Elasticity | |
6Implicit Elasticity | |
7Viscoelasticity | |
Appendices | |
ALinear Algebra | |
BCovariant and Contravariant Issues: Configuration Physics | |
CKronecker Products | |
DGeneral Linear ODE Solver | |
E Solver for Convolution Integrals | |
F Solver for the Mittag | |
Leer Function | |
Bibliography | |
Index | |
ISBN: | 9783319035512 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Biomaterials |
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Call number: | SPRINGER-2014-9783319012018:ONLINE Show nearby items on shelf |
Title: | Modeling of Carbon Nanotubes, Graphene and their Composites [electronic resource] |
Author(s): |
Konstantinos I Tserpes Nuno Silvestre |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book containstenchapters,authored by world experts in the field of simulation at nano-scale and aims to demonstrate the potentialities of computational techniques to model the mechanical behavior of nano-materials, suchas carbon nanotubes, graph ene and their composites. A large part of the research currently being conducted in the fields of materials science and engineering mechanics is devoted to carbon nanotubes, graphene and their applications. Inthis process, computational modeling is a very attractive research tool due to the difficulties in manufacturing and testing of nano-materials. Both atomistic modeling methods, such as molecular mechanics and molecular dynamics, andcontinuum modeling methods are being intensively used. Continuum mode ling offers significant advantages over atomistic modeling such as the reduced computational effort, the capability of modeling complex structures and bridgingdifferent analysis scales, thus enabling modeling from the nano- to the macro-scale. On the othe r hand, atomistic modeling is very accurate and can provide detailed information about the effects of material structure such as theinterfaces and functionalization |
Contents: | Preface |
1 Improved mechanical performance of CNTs and CNT fibres in nanocomposites through inter | |
wall and inter | |
tube coupling | |
2 A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes | |
3 A heterogeneous discrete approach of interfacial effects on multi | |
scale modelling of carbon nanotube and graphene based composites | |
4 Effect of Covalent Functionalization on Youngs Modulus of a Single | |
Wall Carbon Nanotube | |
5 Multiscale Modeling of Multifunctional Fuzzy Fibers based on Multi | |
Walled Carbon Nanotubes | |
6 Geometry | |
property relation in co | |
ISBN: | 9783319012018 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series in Materials Science, 0933-033X : v188 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Materials |
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Call number: | SPRINGER-2013-9783642395109:ONLINE Show nearby items on shelf |
Title: | Physique des coulements Continus [electronic resource] |
Author(s): |
Jean-Paul Caltagirone |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | La mcanique des fluides est aborde sous deux points de vue, physique et mathmatique. Les bases de la mcanique des milieux continus sont d'abord prsentes en dtail en prcisant les hypothses et approximations quiconduisent aux lois de conservation. Les outils d'analyse des quations gnrales, tude en ordres de grandeurs, analyse adimensionnelle et similitude, permettent ensuite d'introduire les approximations de fluide parfait d'Euler,de fluides visqueux en rgime de Stokes et de la couche limite de Prandt l. Les notions de stabilit des coulements, de turbulence et les coulements compressibles sont ensuite prsents. Les coulements multiphysiques ouvrentdes perspectives pour la recherche et le traitement d'applications complexes. In this book, fluid mechanics is addressed from both physical and mathematical perspectives. As a first step, the basic theory of continuum mechanics isdetailed, pointing out the different assumptions and approximations that lead to conservation laws. As a second step, scaling studie s, dimensional analysis and similitude of the general equations help to introduce the inviscid Eulerfluid approximation, the Stokes approximation of viscous flow and Prandtlsboundary layer approximation. Lastly, the concepts of stability, turbulence and c ompressible flows are presented. Multiphysics approach of flows willprovide readers with deeper insights into basic and applied research on complex processing |
Note: | Springer eBooks |
Contents: | Gnralits |
quations de conservation | |
Proprits gnrales des quations | |
Solutions exactes des quations de Navier | |
Stokes | |
Dynamique des fluides parfaits | |
Re | |
Approximation de Stokes | |
Re0 | |
La couche limite | |
e =d /L0 | |
Stabilit, chaos | |
Turbulence | |
Les coulements compressibles | |
Multiphysique | |
Index. | |
ISBN: | 9783642395109 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathmatiques et Applications, 1154-483X : v74 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mechanics |
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Call number: | SPRINGER-2013-9783642382826:ONLINE Show nearby items on shelf |
Title: | Scattering Theory [electronic resource] |
Author(s): |
Harald Friedrich |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a concise and modern coverage of scattering theory. It is motivated by the fact that experimental advances have shifted and broadened the scope of applications where concepts from scattering theory are used,e.g. tothe field of ultr acold atoms and molecules, which has been experiencing enormous growth in recent years, largely triggered by the successful realization of Bose-Einstein condensates of dilute atomic gases in 1995. In thepresent treatment, special attention is given to the role played by the long-range behaviour of the projectile-target interaction, and a theory is developed, which is well suited todescribe near-threshold bound and continuum statesin realistic binary systems such as diatomic molecules or molecular ions. Th e level of abstraction is keptas low as at all possible,and deeper questions related tomathematical foundations of scattering theory are passed by. Thebookshould beunderstandable for anyone with a basic knowledge of nonrelativistic quantum mechanics. It i s intended for advanced students and researchers, and it is hoped that it will be useful for theorists and experimentalistsalike |
Note: | Springer eBooks |
Contents: | Classical Scattering Theory |
Elastic Scattering by aConservative Potential | |
Internal Excitation, Inelastic Scattering | |
Special Topics | |
Scaling | |
Special Functions | |
ISBN: | 9783642382826 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v872 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2013-9783642352751:ONLINE Show nearby items on shelf |
Title: | Domain Decomposition Methods in Science and Engineering XX [electronic resource] |
Author(s): |
Randolph Bank Michael Holst Olof Widlund Jinchao Xu |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinearsystems of algebraic equa tions that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind.This is essential for approaching peak floating p oint performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms |
Note: | Springer eBooks |
Contents: | Preface |
Part I: Plenary Presentations | |
Part II: Minisymposia | |
Part III: Contributed Presentations | |
ISBN: | 9783642352751 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v91 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer aided design , Differential equations, partial , Computer science Mathematics , Computer science |
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Call number: | SPRINGER-2013-9783642335969:ONLINE Show nearby items on shelf |
Title: | Mechanics of Advanced Functional Materials [electronic resource] |
Author(s): |
Biao Wang |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mechanics of Advanced Functional Materials emphasizes the coupling effect between the electric and mechanical field in the piezoelectric, ferroelectric and other functional materials. It also discusses the size effect on theferroelectric domain insta bility and phase transition behaviors using the continuum micro-structural evolution models. Functional materials usually have a very wide application in engineering due to their unique thermal, electric,magnetic, optoelectronic, etc., functions. Almost a ll the applications demand that the material should have reasonable stiffness, strength, fracture toughness and the other mechanical properties. Furthermore, usually the stress andstrain fields on the functional materials and devices have some important c oupling effect on the functionality of the materials. Much progress has been made concerning the coupling electric and mechanical behaviors such as the coupledelectric and stress field distribution in piezoelectric solids, ferroelectric domain patterns in ferroelectrics, fracture and failure properties under coupled electric and stress field, etc. The book is intended for researchers andpostgraduate students in the fields of mechanics, materials sciences and applied physics who are interested to work on t he interdisciplinary mathematical modeling of the functional materials. Prof. Biao Wang is the Dean of School ofPhysics and Engineering of the Sun Yat-sen University, China. Prof. Biao Wang is the Dean of School of Physics and Engineering of the Sun Yat-s en University, China. Prof. Biao Wang is the Dean of School of Physics and Engineering ofthe Sun Yat-sen University, China |
Note: | Springer eBooks |
Contents: | Solutions of elastic and electric fields of piezoelectric materials with inclusions and defects |
Micromechanics modeling of piezoelectric composites | |
Determination of the critical sizes of ferroelectric nanodomains | |
Size and surface effects on phase transitions in nanoferroelectric materials | |
Compliant ferroelectric films and strain engineering | |
Derivation of the Landau | |
Ginzburg expansion coefficients | |
Multiferroic materials | |
Breakdown models in nanoelectronic materials and devices | |
ISBN: | 9783642335969 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Advanced Topics in Science and Technology in China, 1995-6819 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Materials , Optical materials |
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Call number: | SPRINGER-2013-9783319010328:ONLINE Show nearby items on shelf |
Title: | Wave Propagation in Nanostructures [electronic resource] : Nonlocal Continuum Mechanics Formulations |
Author(s): |
Srinivasan Gopalakrishnan Saggam Narendar |
Date: | 2013 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Wave Propagation in Nanostructures describes the fundamental and advanced concepts of waves propagating in structures that have dimensions of the order of nanometers. The book is fundamentally based on non-local elasticity theory,which includes scale effects in the continuum model. The book predominantly addresses wave behavior in carbon nanotubes and graphene structures, although the methods of analysis provided in this text are equally applicable to othernanostructures. The book takes the reader fr om the fundamentals of wave propagation in nanotubes to more advanced topics such as rotating nanotubes, coupled nanotubes, and nanotubes with magnetic field and surface effects. The firstfew chapters cover the basics of wave propagation, different modeli ng schemes for nanostructures and introduce non-local elasticity theories, which form the building blocks for understanding the material provided in later chapters. Anumber of interesting examples are provided to illustrate the important features of wave behavior in these low dimensional structures |
Note: | Springer eBooks |
Contents: | Introduction to Nanostructures |
Introductory Concepts of Wave Propagation Analysis in Structures | |
Various Modeling Techniques for Nanostructures | |
Theory of Nonlocal Elasticity | |
Material Property and Nonlocal Scale Parameter Estimation for SWCNTs | |
Wave Propagation in 1D | |
Nanostructures: Nanorods | |
Wave Propagation in 1D | |
Nanostructures: Nanobeams | |
Wave Propagation in Multi | |
Walled Carbon Nanotubes | |
Wave Propagation in Coupled 1D | |
Nanosystems | |
Wave Propagation in 2D | |
Nanostructures | |
Wave Propagation in Nanoshells | |
ISBN: | 9783319010328 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | NanoScience and Technology, 1434-4904 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Materials , Engineering , Nanotechnology |
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Call number: | SPRINGER-2013-9783034805131:ONLINE Show nearby items on shelf |
Title: | Nonlinear Partial Differential Equations with Applications [electronic resource] |
Author(s): |
Tom Roubek |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-)monotone or accretive oper ators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media,modelling of biological systems, or in mechani cal engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook. Thesecond edition simplifies and extends the exposition atparticular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equationsor in mathematical modelling of distributed parameter systems. ------ The monograph contains a w ealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concreteapplications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well d one, and the presentation, although concise, is clear, elegant and rigorous. () this book is a notableaddition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the ana lysis of (...) nonlinear differential models of the real world. (MathematicalReviews) |
Note: | Springer eBooks |
Contents: | Preface |
Preface to the 2nd edition | |
Notational conventions | |
1 Preliminary general material | |
I Steady | |
state problems | |
2 Pseudomonotone or weakly continuous mappings | |
3 Accretive mappings | |
4 Potential problems: smooth case | |
5 Nonsmooth problems variational inequalities | |
6. Systems of equations: particular examples | |
II Evolution problems | |
7 Special auxiliary tools | |
8 Evolution by pseudomonotone or weakly continuous mappings | |
9 Evolution governed by accretive mappings | |
10 Evolution governed by certain set | |
valued mappings | |
11 Doubly | |
nonlinear problems | |
12 Systems o | |
ISBN: | 9783034805131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v153 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis |
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Call number: | SPRINGER-2013-9783034804516:ONLINE Show nearby items on shelf |
Title: | Recent Trends in Dynamical Systems [electronic resource] : Proceedings of a Conference in Honor of Jrgen Scheurle |
Author(s): |
Andreas Johann Hans-Peter Kruse Florian Rupp Stephan Schmitz |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents the proceedings of a conference on dynamical systems held in honor of Jrgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews ofthe current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation -Geometric mechanics and control theory-Invariant manifolds, attractors and chaos -Flui d mechanics and elasticity -Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields,including engineering, will benefit from the articles presented in this volum e. Contributors: Fred C. Adams Henk W. Broer Anthony M. Bloch Tomas Caraballo David R.J. Chillingworth Freddy Dumortier Messoud Efendiev Tor Fl Peter A.Giesl Christoph Glocker Alexandra Goeke John Guckenheimer Sigurdur Hafstein Heinz Hanmann Darryl D. Hol m Hany A. Hosham Eric W. Justh Peter E. Kloeden P. S. Krishnaprasad Martin Kruk Tassilo Kpper Alexander Mielke JamesMontaldi Philip J. Morrison Jonathan Munn Arne B. Nordmark Marius Paicu Tudor S. Ratiu Genevive Raugel Sebastian Reich Michael Renardy Flor ian H.-H. Rupp Bjrn Sandstede Samuel N. Stechmann Tadashi Tokieda Andr VanderbauwhedeSebastian Walcher Daniel Weiss Clemens Woywod Jiangong You Fumin Zhang Anna Zhigun Johannes Zimmer |
Note: | Springer eBooks |
Contents: | Part I Stability, Bifurcation & Perturbations |
Part II Hamiltonian Dynamics, Geometric Mechanics & Control Theory | |
Part III Continuum Mechanics: Solids, Fluids and other Materials | |
ISBN: | 9783034804516 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v35 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems |
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Call number: | SPRINGER-2013-9781461459408:ONLINE Show nearby items on shelf |
Title: | Plasticity [electronic resource] : Mathematical Theory and Numerical Analysis |
Author(s): |
Weimin Han B. Daya Reddy |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It isdivided into three parts, wi th the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of varioussemi-discrete and fully discrete approximations for var iational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire bookhas been revised to make it more accessible to readers who are actively involv ed in computations but less so in numerical analysis. Reviews of earlier edition: The authors have written an excellent book which can berecommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics ofplasticity theory. (ZAMM, 2002) In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theor y and numerics of plasticity. Scientists as well as lecturers and graduate studentswill find the book very useful as a reference for research or for preparing courses in this field. (Technische Mechanik) The book is professionally written and will be a us eful reference to researchers and students interested inmathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis. (Math Reviews) |
Note: | Springer eBooks |
Contents: | Preface to the Second Edition |
Preface to the First Edition | |
Preliminaries | |
Continuum Mechanics and Linearized Elasticity | |
Elastoplastic Media | |
The Plastic Flow Law in a Convex | |
Analytic Setting | |
Basics of Functional Analysis and Function Spaces | |
Variational Equations and Inequalities | |
The Primal Variational Problem of Elastoplasticity | |
The Dual Variational Problem of Classical Elastoplasticity | |
Introduction to Finite Element Analysis | |
Approximation of Variational Problems | |
Approximations of the Abstract Problem | |
Numerical Analysis of the Primal Problem | |
References | |
ISBN: | 9781461459408 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v9 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Numerical analysis , Mechanics, applied , Materials |
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Call number: | SPRINGER-2013-9781461458685:ONLINE Show nearby items on shelf |
Title: | Functional Analysis in Mechanics [electronic resource] |
Author(s): |
Leonid P Lebedev Iosif I Vorovich Michael J Cloud |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract butpowerful mathematical not ions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical andabstract portions of functional analysis. Taken togethe r, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exerciseswith hints and solutions. A new appendix, providing a convenient listing of e ssential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, andapplied mathematics. Reviews of first edition: This book covers functional analysis and its application s to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics whowish to understand the mathematical underpinnings of the discipline. . . . Detailed solutions of the exercises are provided in an app endix. (LEnseignment Mathematique, Vol. 49 (1-2), 2003) The reader comes away with aprofound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood.Numerous exercises. . .test the readers comprehension at every stage. Summing Up: Recommended. (F. E. J. Linton, Choice, September, 2003) |
Note: | Springer eBooks |
Contents: | Introduction |
Metric, Banach, and Hilbert Spaces | |
Mechanics Problems from the Functional Analysis Viewpoint | |
Some Spectral Problems of Mechanics | |
Elements of Nonlinear Functional Analysis | |
Summary of Inequalities and Imbeddings | |
Hints for Selected Problems | |
References | |
In Memoriam: Iosif I. Vorovich | |
Index | |
ISBN: | 9781461458685 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Differential equations, partial , Mechanics , Materials |
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Call number: | SPRINGER-2013-9781461451556:ONLINE Show nearby items on shelf |
Title: | Turbulence and Self-Organization [electronic resource] : Modeling Astrophysical Objects |
Author(s): |
Mikhail Ya Marov Aleksander V Kolesnichenko |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book focuses on the development of continuum models of natural turbulent media. It providesa theoretical approach tothesolutions ofdifferent problems related to the formation, structure and evolution of astrophysicaland geophysical objects. A st ochastic modeling approach is used in the mathematical treatment of these problems, which reflects self-organization processes in open dissipative systems. The authors also consider examples of ordering forvarious objects in space throughout their evoluti onary processes. This volume is aimed at graduate students and researchers in the fields of mechanics, astrophysics, geophysics, planetary and space science |
Note: | Springer eBooks |
Contents: | Turbulent Chaos and Self |
organization in Space and Natural Environments | |
Basics of Mathematical Modeling of Reactive Gas Mixtures | |
Closed System of Hydrodynamic Equations for the Description of Turbulent Motion of Multicomponent Media | |
Differential Models of Closure of the Averaged Hydrodynamic Equations for the Turbulent Chemically | |
active Continuous Medium | |
Stochastic | |
thermodynamic Modeling of the Developed Structural Turbulence | |
Self | |
organization of the Developed Turbulence and Mechanisms of Coherent Structure Formation | |
Basics of Heterogeneous Mechanics with Applications to Accret | |
ISBN: | 9781461451556 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Library, 0067-0057 : v389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Differentiable dynamical systems |
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Call number: | SPRINGER-2012-9789400725461:ONLINE Show nearby items on shelf |
Title: | Mechanical Behaviour of Materials [electronic resource] : Volume 1: Micro- and Macroscopic Constitutive Behaviour |
Author(s): |
Dominique Franois Andr Pineau Andr Zaoui |
Date: | 2012 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Advances in technology are demanding ever-increasing mastery over the materials being used: the challenge is to gain a better understanding of their behaviour, and more particularly of the relations between their microstructureand their macroscopic p roperties. This work, of which this is the first volume, aims to provide the means by which this challenge may be met. Starting from the mechanics of deformation, it develops the laws governing macroscopicbehaviour expressed as the constitutive equation s always taking account of the physical phenomena which underlie rheological behaviour. The most recent developments are presented, in particular those concerning heterogeneousmaterials such as metallic alloys, polymers and composites. Each chapter is de voted to one of the major classes of material behaviour. As the subtitles indicate, Volume 1 deals with micro- and macroscopic constitutive behaviour andVolume 2 with damage and fracture mechanics. A third volume will be devoted to exercises and their fu ll solutions complementing the content of these two first volumes. Most of the chapters end with a set of exercises, to many of whicheither the full solution or hints on how to obtain this are given each volume is profusely illustrated with explanatory di agrams and with electron-microscope photographs. This book, now in its second edition, has been rigorouslyre-written, updated and modernised for a new generation. The authors improved the existing material, in particular in modifying the organisation, an d added new up-to-date content. Understanding the subject matter requires a goodknowledge of solid mechanics and materials science the main elements of these fields are given in a set of annexes at the end of the first volume. The authors also thought it interesting for the readers to give as footnotes someinformation about the many scientists whose names are attached to theories and formulae and whose memories must be celebrated. Whils |
Note: | Springer eBooks |
Contents: | Foreword |
Chapter 1 Introduction | |
Chapter 2 Elastic behaviour | |
Chapter 3 Elastoplasticity | |
Chapter 4 Elastoviscoplasticity | |
Chapter 5 Viscoelasticity | |
Annex I Atomic and molecular structures | |
Annex II Phase transformations | |
Annex III Continuum mechanics: basic concepts and equations | |
Tables 1 | |
Tables 2 | |
Notations | |
Author Index | |
Subject Index | |
ISBN: | 9789400725461 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Solid Mechanics and Its Applications, 0925-0042 : v180 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Crystallography , Mechanical engineering |
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Call number: | SPRINGER-2012-9783642334504:ONLINE Show nearby items on shelf |
Title: | Friction Material Composites [electronic resource] |
Author(s): |
K. L. Sundarkrishnaa |
Date: | 2012 |
Publisher: | Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Professional book |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9783642334504 |
Series: | Springer Series in Materials Science |
Series: | e-books |
Keywords: | Automotive Engineering , Continuum Mechanics and Mechanics of Materials , Ceramics, Glass, Composites, Natural Materials , Nanotechnology , Surface and Interface Science, Thin Films |
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Call number: | SPRINGER-2012-9783642325342:ONLINE Show nearby items on shelf |
Title: | Shock Wave Compression of Condensed Matter [electronic resource] |
Author(s): |
Jerry W. Forbes |
Date: | 2012 |
Publisher: | Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Graduate/advanced undergraduate textbook |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9783642325342 |
Series: | Shock Wave and High Pressure Phenomena |
Series: | e-books |
Keywords: | Continuum Mechanics and Mechanics of Materials , Condensed Matter Physics , Thermodynamics , Engineering Thermodynamics, Heat and Mass Transfer |
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Call number: | SPRINGER-2012-9783642252952:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling for Complex Fluids and Flows [electronic resource] |
Author(s): |
Michel O Deville Thomas B Gatski |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so itsupplies the means to de sign mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar andturbulent flow of non-Newtonian fluids such as thos e required in food processing and polymeric flows. The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian,viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory,especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeli ng strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomialrepresentations and accounting for non-inertial and curvature effects. Ranging from fundamental concepts to practical methodology, a nd including discussion of emerging technologies, this book is ideal for those requiring asingle-source assessment of current practice in this intricate yet vital field |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. Tensor Analysis, Invariants, and Representations | |
3. Kinematics and Dynamics | |
4. Constitutive Equations: General Principles | |
5. Non | |
Newtonian and Viscoelastic Fluids | |
6. Turbulent Flows | |
7. The Boltzmann Equation | |
8. Properties of the Hermite Polynomials | |
Table of symbols | |
References | |
ISBN: | 9783642252952 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation |
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Call number: | SPRINGER-2012-9783642246098:ONLINE Show nearby items on shelf |
Title: | Phase Change in Mechanics [electronic resource] |
Author(s): |
Michel Frmond |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperaturediscontinuities. Many other pha se change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewedprinciple of virtual power introducing the power of the mi croscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion formacroscopic motions. The new theory sensibly improves the phase change modeling. Fo r example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equationspredict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 The State Quantities and the Quantities Describing the Evolution | |
3 The Basic Laws of Mechanics | |
4 Solid | |
liquid Phase Change | |
5 Shape Memory Alloys | |
6 Damage | |
7 Contact with Adhesion | |
8 Damage of Solids Glued on One Another. Coupling of Volume and Surface Damages | |
9 Phase Change with Discontinuity of Temperature: Warm Water in Contact with Cold Ice | |
10 Phase Change and Collisions | |
11 Collisions of Deformable Bodies and Phase Change | |
12 Phase Change Depending on a State Quantity: Liquid | |
vapor Phase Change | |
13 Clouds: Mixture of Air, Vapor and Liquid Wat | |
ISBN: | 9783642246098 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes of the Unione Matematica Italiana, 1862-9113 : v13 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Meteorology , Materials , Environmental protection |
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Call number: | SPRINGER-2012-9783642193729:ONLINE Show nearby items on shelf |
Title: | Advances in Soft Matter Mechanics [electronic resource] |
Author(s): |
Shaofan Li Bohua Sun |
Date: | 2012 |
Publisher: | Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Monograph |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9783642193729 |
Series: | e-books |
Keywords: | Soft and Granular Matter, Complex Fluids and Microfluidics , Biomaterials , Continuum Mechanics and Mechanics of Materials , Polymer Sciences |
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Call number: | SPRINGER-2012-9781461416920:ONLINE Show nearby items on shelf |
Title: | Thermodynamics of Materials with Memory [electronic resource] : Theory and Applications |
Author(s): |
Giovambattista Amendola Mauro Fabrizio John Murrough Golden |
Date: | 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is anintroduction to Cont inuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations ofmaterials with memory, including viscoelas tic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored.The new concept of a minimal state is also introduced. Formula e derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimalstate is analyzed in detail. Finally, free energies for examples of non-simple mat erials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing thedynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of mini mal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systemswith memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems |
Note: | Springer eBooks |
Contents: | Introduction to Continuum |
Materials with Constitutive Equations That Are Local in Time | |
Principles of Thermodynamics | |
Free Energies and the Dissipation Principle | |
Thermodynamics of Materials with Memory | |
A Linear Memory Model | |
Viscoelastic Solids and Fluids | |
Heat Conductors | |
Free Energies on Special Classes of Material | |
The Minimum Free Energy | |
Representation of the Minimum Free Energy in the Time Domain | |
Minimum Free Energy for Viscoelastic Solids, Fluids, and Heat Conductors | |
The Minimum Free Energy for a Continuous | |
Spectrum Material | |
The Minimum Free Energy for a Finite | |
M | |
ISBN: | 9781461416920 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mechanics , Materials , Surfaces (Physics) |
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Call number: | SPRINGER-2012-9781461409250:ONLINE Show nearby items on shelf |
Title: | Biomimetics in Materials Science [electronic resource] |
Author(s): |
Michael Nosonovsky Pradeep K. Rohatgi |
Date: | 2012 |
Edition: | 1 |
Publisher: | Springer New York |
Size: | 1 online resource |
Note: | Monograph |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9781461409250 |
Series: | Springer Series in Materials Science |
Series: | e-books |
Keywords: | Continuum Mechanics and Mechanics of Materials , Polymer Sciences , Tribology, Corrosion and Coatings , Ceramics, Glass, Composites, Natural Materials , Metallic Materials |
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Call number: | SPRINGER-2012-9780387878157:ONLINE Show nearby items on shelf |
Title: | Dissipative Ordered Fluids [electronic resource] : Theories for Liquid Crystals |
Author(s): |
Andre M Sonnet Epifanio G Virga |
Date: | 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral andnonchiral variants. The aut hors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased.Within this unified setting, they cover both we ll-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from theoriginal 1960s works by Ericksen and Leslie to new, fast-developing ideas o f liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves innematic liquid crystals are interpreted and explained in the light of a new theory developed within th e general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students andprofessional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid cryst al hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrateshow these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the Uni versity of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in theDepartment of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theo ries of defects and biaxial nematics |
Note: | Springer eBooks |
Contents: | Molecular Theories |
Dynamics of Dissipative Fluids | |
Director Theories | |
Order Tensor Theories | |
Nematoacoustics | |
Notation and Basic Concepts | |
References | |
Index | |
ISBN: | 9780387878157 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mechanics |
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Call number: | SPRINGER-2011-9783642110900:ONLINE Show nearby items on shelf |
Title: | Non-linear Continuum Theories in Mechanics and Physics and their Applications [electronic resource] |
Author(s): |
R.S Rilvil |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | P.A. Blythe: Non-linear far-field theories in relaxing gas flows.- Meixner: Thermodynamics of deformable materials.- A.C. Pipkin: Non-linear phenomena in continua.- R.S. Rivlin: An introduction to non-linear continuum mechanics.-G.F. Smith: The gener ation of integrity bases |
Note: | Springer eBooks |
Contents: | P.A. Blythe: Non |
linear far | |
field theories in relaxing gas flows | |
Meixner: Thermodynamics of deformable materials | |
A.C. Pipkin: Non | |
linear phenomena in continua | |
R.S. Rivlin: An introduction to non | |
linear continuum mechanics | |
G.F. Smith: The generation of integrity bases | |
ISBN: | 9783642110900 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v50 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mechanics , Thermodynamics , Materials |
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Call number: | SPRINGER-2011-9783642110665:ONLINE Show nearby items on shelf |
Title: | Wave Propagation [electronic resource] |
Author(s): |
Giorgio Ferrarese |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Lectures: A. Jeffrey: Lectures on nonlinear wave propagation.- Y. Choquet-Bruhat: Ondes asymptotiques.- G. Boillat: Urti.- Seminars: D. Graffi: Sulla teoria dellottica non-lineare.- G. Grioli: Sulla propagazione del calore neimezzi continui.- T. Mana corda: Onde nei solidi con vincoli interni.- T. Ruggeri: Entropy principle and main field for a non linear covariant system.- B. Straughan: Singular surfaces in dipolar materials and possible consequencesfor continuum mechanics |
Note: | Springer eBooks |
Contents: | Lectures: A. Jeffrey: Lectures on nonlinear wave propagation |
Y. Choquet | |
Bruhat: Ondes asymptotiques | |
G. Boillat: Urti | |
Seminars: D. Graffi: Sulla teoria dellottica non | |
lineare | |
G. Grioli: Sulla propagazione del calore nei mezzi continui | |
T. Manacorda: Onde nei solidi con vincoli interni | |
T. Ruggeri: Entropy principle and main field for a non linear covariant system | |
B. Straughan: Singular surfaces in dipolar materials and possible consequences for continuum mechanics | |
ISBN: | 9783642110665 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v81 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2011-9783642110337:ONLINE Show nearby items on shelf |
Title: | Non-linear Continuum Theories [electronic resource] |
Author(s): |
G Grioli C Truesdell |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media.- L. De Vito: Sui fondamenti della meccanica di sistemi continui (II).- G. Fichera: Problemi elastostatici con ambigue condizioni alcontorno.- G. Grioli: S istemi a trasformazioni reversibili.- W. Noll: the foundations of mechanics.- R.A. Toupin: Elasticity and electromagnetic.- C.C. Wang: Subfluids |
Note: | Springer eBooks |
Contents: | B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media |
L. De Vito: Sui fondamenti della meccanica di sistemi continui (II) | |
G. Fichera: Problemi elastostatici con ambigue condizioni al contorno | |
G. Grioli: Sistemi a trasformazioni reversibili | |
W. Noll: the foundations of mechanics | |
R.A. Toupin: Elasticity and electromagnetic | |
C.C. Wang: Subfluids | |
ISBN: | 9783642110337 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v36 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Thermodynamics , Materials , Microwaves |
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Call number: | SPRINGER-2011-9783642110184:ONLINE Show nearby items on shelf |
Title: | Propriet di media e teoremi di confronto in fisica matematica [electronic resource] |
Author(s): |
Giuseppe Grioli |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Lectures: B. Coleman: On global and local forms of the second law of thermodynamics.- J. Serrin: Comparison and averaging methods in mathematical physics.- H. Ziegler: Thermodynamic aspects of continuum mechanics.- Seminars: C.Agostinelli: I. Un teor ema di media sul flusso di energia nel moto di un fluido di alta conduttivit elettrica in cui si genera un campo magnetico. II. Su alcuni teoremi di media in magnetofluidodinamica nel caso stazionario.- D.Graffi: I. Principi di minimo e variazionali nel c ampo elettromagnetico. II. Teoremi di reciprocit nei fenomeni non stazionari.- G. Grioli: I. Propriet generali di media nella meccanica dei continui e loro applicazioni. II.Problemi di integrazione nella teoria dellequilibrio elastico |
Note: | Springer eBooks |
ISBN: | 9783642110184 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v31 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Thermodynamics , Materials |
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Call number: | SPRINGER-2011-9781441970558:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations I [electronic resource] : Basic Theory |
Author(s): |
Michael E Taylor |
Date: | 2011 |
Edition: | 2 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for theirsolution, in particular Fouri er analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as wellas more general elliptic, parabolic, and hyperbol ic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics,differential geometry, harmonic analysis, and complex analysis. In this seco nd edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space ofpseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such ope rators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflectinsights obtained through the use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Ca rolina, Chapel Hill, NC. Review of first edition: These volumes will be read by severalgenerations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted. (SIAM Review, June 1998) |
Note: | Springer eBooks |
ISBN: | 9781441970558 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v115 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2011-9781441970497:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations III [electronic resource] : Nonlinear Equations |
Author(s): |
Michael E Taylor |
Date: | 2011 |
Edition: | 2 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equationsarising in differential geo metry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It alsointroduces such analytical tools as the theory o f L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted atgraduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. In this second edition, thereare seven new sections including Sobolev spaces on rough domains, boundary layer phenomena f or the heat equation, an extension of complex interpolation theory, and Navier-Stokes equations with small viscosity. In addition, severalother sections have been substantially rewritten, and numerous others polished to reflect insights obtained through t he use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina,Chapel Hill, NC. Review of first edition: These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theoryis rooted.(SIAM Review, June 1998) |
Note: | Springer eBooks |
ISBN: | 9781441970497 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v117 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2010-9783642116575:ONLINE Show nearby items on shelf |
Title: | Lois de Conservations Eulriennes, Lagrangiennes et Mthodes Numriques [electronic resource] |
Author(s): |
Bruno Desprs |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Les systmes de lois de conservation non linaires modlisent les coulements compressibles et incompressibles dans des domaines extrmement varis tels que l'aronautique, l'hydrodynamique, la physique des plasmas, lacombustion, le trafic routier, l'lastic it non linaire. Le cadre mathmatique gnral est celui des systmes de lois de conservation. Les exemples physiques sont nombreux et souvent spectaculaires. Cela contribue fonder unenouvelle discipline, la Mcanique des Fluides Numrique. La prsentation propo se porte l'accent sur les systmes que l'on appellera lagrangiens ou crits en coordonnes de Lagrange, sur leurs relations avec les systmes encoordonnes d'Euler et sur les possibilits que cela offre pour la construction et l'analyse de schmas numriques entr opiques. De nombreux exemples numriques sont prsents en liaison avec le contexte physique, ainsi que desexercices. It has long been observed that systems of conservation laws written in the Lagrange variable offer a good alternative for the numerical comp utation of approximate solutions. In this monograph we seek to develop a systematicpresentation of the use of the Lagrange variable for the analysis and discretization of systems of conservation laws arising in continuum mechanics |
Note: | Springer eBooks |
Contents: | Modles |
tude dune loi de conservation | |
Systmes | |
Le systme de la dynamique des gaz compressibles | |
Solveurs lagrangiens un tat et deux tats | |
Systmes lagrangiens multidimensionnels | |
ISBN: | 9783642116575 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathmatiques et Applications, 1154-483X : v68 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2010-9783642053702:ONLINE Show nearby items on shelf |
Title: | Mechanics [electronic resource] : From Newton's Laws to Deterministic Chaos |
Author(s): |
Florian Scheck |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks toinclude dynamical system s and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.Symmetries and invariance principles, the basic ge ometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equationsof motion follow, to understand the importance of canonical mechanics an d of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches ofphysics. The book contains more than 120 problems with complete solutions, as well as some practica l examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook toaccompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics |
Note: | Springer eBooks |
Contents: | Elementary Newtonian Mechanics |
The Principles of Canonical Mechanics | |
The Mechanics of Rigid Bodies | |
Relativistic Mechanics | |
Geometric Aspects of Mechanics | |
Stability and Chaos | |
Continuous Systems | |
Exercises | |
Solution of Exercises | |
ISBN: | 9783642053702 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied |
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Call number: | SPRINGER-2010-9783642051951:ONLINE Show nearby items on shelf |
Title: | The General Theory of Homogenization [electronic resource] A Personalized Introduction |
Author(s): |
Luc Tartar |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without usingprobabilities (which des troy physical reality) instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of Franois Murat and the author, and some responsible for the appearance ofnonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the authors H-measures, variants by PatrickGrard, and others yet to be discovered |
Note: | Springer eBooks |
Contents: | Why Do I Write? |
A Personalized Overview of Homogenization I | |
A Personalized Overview of Homogenization II | |
An Academic Question of Jacques | |
Louis Lions | |
A Useful Generalization by Franois Murat | |
Homogenization of an Elliptic Equation | |
The DivCurl Lemma | |
Physical Implications of Homogenization | |
A Framework with Differential Forms | |
Properties of H | |
Convergence | |
Homogenization of Monotone Operators | |
Homogenization of Laminated Materials | |
Correctors in Linear Homogenization | |
Correctors in Nonlinear Homogenization | |
Holes with Dirichlet Conditions | |
Holes with Neuman | |
ISBN: | 9783642051951 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes of the Unione Matematica Italiana, 1862-9113 : v7 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mechanics , Hydraulic engineering |
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Call number: | SPRINGER-2010-9783642040481:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Conservation Laws in Continuum Physics [electronic resource] |
Author(s): |
Constantine M Dafermos |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the developmentof the mathematical t heory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and thequalitative theory of partial differential equations , whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems ofconservation laws who wish to learn about the connection with classical physics (b) specialists in continuum mechanics who may need analytical tools (c) experts in numerical analysis who wish to learn the underlying mathematicaltheory and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of cons ervation laws. New to the 3rd edition is an account of the early history of the subject, spanning the period between 1800to 1957. Also new is a chapter recounting the recent solution of open problems of long standing in classical aerodynamics. Furthermore , the presentation of a number of topics in the previous edition has been revised and brought up todate, and the collection of applications has been substantially enriched. The bibliography, also expanded and updated, now comprises over fifteen hundred ti tles. From the reviews of the 2nd edition: The author is known as one of theleading experts in the field. His masterly written book is, surely, the most complete exposition in the subject. Evgeniy Panov, Zentralblatt MATH This book is sure to convince eve ry reader that working in this area is challenging,enlightening, and joyful. Katarina Jegdic, SIAM Review |
Note: | Springer eBooks |
Contents: | Preface |
Acknowledgments | |
Introduction | |
A Sketch of the Early History of Hyperbolic Conservation Laws | |
I.Balance Laws | |
II.Introduction to Continuum Physics | |
III.Hyperbolic Systems of Balance Laws | |
IV.The Cauchy Problem | |
V.Entropy and the Stability of Classical Solutions | |
VI.The L1 Theory for Scalar Conservation Laws | |
VII.Hyperbolic Systems of Balance Laws in One | |
Space Dimension | |
VIII.Admissible Shocks | |
IX.AdmissibleWave Fans and the Riemann Problem | |
X.Generalized Characteristics | |
XI.Genuinely Nonlinear Scalar Conservation Laws | |
XII.Genuinely Nonlinear Systems of T | |
ISBN: | 9783642040481 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v325 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mechanics , Thermodynamics , Materials , Mechanical engineering |
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Call number: | SPRINGER-2010-9783540856108:ONLINE Show nearby items on shelf |
Title: | Theoretical Molecular Biophysics [electronic resource] |
Author(s): |
Philipp Scherer Sighart F Fischer |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Theoretical Molecular Biophysics is an advanced study book for students, shortly before or after completing undergraduate studies, in physics, chemistry or biology. It provides the tools for an understanding of elementaryprocesses in biology, such as photosynthesis on a molecular level. A basic knowledge in mechanics, electrostatics, quantum theory and statistical physics is desirable. The reader will be exposed to basic concepts in modern biophysicssuch as entropic forces, phase separation, potentia ls of mean force, proton and electron transfer, heterogeneous reactions coherent and incoherent energy transfer as well as molecular motors. Basic concepts such as phase transitions ofbiopolymers, electrostatics, protonation equilibria, ion transport, rad iationless transitions as well as energy- and electron transfer are discussed within the frame of simple models |
Note: | Springer eBooks |
Contents: | Statistical Mechanics of Biopolymers |
Random Walk Models for the Conformation | |
FloryHuggins Theory for Biopolymer Solutions | |
Protein Electrostatics and Solvation | |
Implicit Continuum Solvent Models | |
DebyeHckel Theory | |
Protonation Equilibria | |
Reaction Kinetics | |
Formal Kinetics | |
Kinetic Theory: FokkerPlanck Equation | |
Kramers Theory | |
Dispersive Kinetics | |
Transport Processes | |
Nonequilibrium Thermodynamics | |
Simple Transport Processes | |
Ion Transport Through a Membrane | |
ReactionDiffusion Systems | |
Reaction Rate Theory | |
Equilibrium Reactions | |
Calcul | |
ISBN: | 9783540856108 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Biological and Medical Physics, Biomedical Engineering, 1618-7210 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics , Engineering , Biomedical engineering |
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Location: | ONLINE |
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