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Mathematical Modeling in Continuum Mechanics

2nd Edition

$56.00 ( ) USD

  • Date Published: May 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511111662

$ 56.00 USD ( )
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About the Authors
  • Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.

    • New text by a well-known author
    • Part III (Solid Mechanics) has been substantially expanded and improved
    • Exercises and hints have been added to almost all chapters
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    Reviews & endorsements

    "This is an excellent book on mathematical models in continuum mechanics for students and researchers in applied and computational mathematics, engineering, and physical sciences."
    Weimin Han, Mathematical Reviews

    "... The book lays a foundation which will help the student put these fields into an applied context. The text includes many useful exercises. The books will be a valuable addition to the literature."
    Michael Renardy, Virginia Polytechnic Institute and State University, SIAM Review

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    Product details

    • Edition: 2nd Edition
    • Date Published: May 2005
    • format: Adobe eBook Reader
    • isbn: 9780511111662
    • contains: 55 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Introduction
    A few words about notations
    Part I. Fundamental Concepts in Continuum Mechanics:
    1. Describing the motion of a system: geometry and kinematics
    2. The fundamental law of dynamics
    3. The Cauchy stress tensor - applications
    4. Real and virtual powers
    5. Deformation tensor, deformation rate tensor, constitutive laws
    6. Energy equations and shock equations
    Part II. Physics of Fluids:
    7. General properties of Newtonian fluids
    8. Flows of inviscid fluids
    9. Viscous fluids and thermohydraulics
    10. Magnetohydrodynamics and inertial confinement of plasmas
    11. Combustion
    12. Equations of the atmosphere and of the ocean
    Part III. Solid Mechanics:
    13. The general equations of linear elasticity
    14. Classical problems of elastostatics
    15. Energy theorems - duality: variational formulations
    16. Introduction to nonlinear constitutive laws and to homogenization
    17. Nonlinear elasticity and an application to biomechanics
    Part IV. Introduction to Wave Phenomena:
    18. Linear wave equations in mechanics
    19. The soliton equation: the Kortewed-de Vries equation
    20. The nonlinear Schrödinger equation
    Appendix
    Hints for the exercises
    References
    Index.

  • Authors

    Roger Temam, Indiana University, Bloomington

    Alain Miranville, Université de Poitiers

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