Mathematical Modeling in Continuum Mechanics by Roger Temam (English) Paperback

Description: Mathematical Modeling in Continuum Mechanics by Roger Temam, Alain Miranville 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 Schr??dinger 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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 Schroedinger 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. 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 Schroedinger equation; Appendix; Hints for the exercises; References; Index. Review This second edition is a unique resource for physicists, applied mathematicians and engineers studying the general themes of fluid and solid mechanics. ... an ideal self-study vehicle for practicing physicists, applied mathematicians and engineers. Furthermore, it is an excellent introductory text for advanced engineering students and anyone interested in continuum mechanics. Zentralblatt MATH "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 Review Quote This second edition is a unique resource for physicists, applied mathematicians and engineers studying the general themes of fluid and solid mechanics. ... an ideal self-study vehicle for practicing physicists, applied mathematicians and engineers. Furthermore, it is an excellent introductory text for advanced engineering students and anyone interested in continuum mechanics. Zentralblatt MATH Promotional "Headline" Topics include: viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics and solitons. Description for Bookstore 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 Schr Description for Library 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 Schr Details ISBN0521617235 Author Alain Miranville Short Title MATHEMATICAL MODELING IN CONTI Pages 342 Publisher Cambridge University Press Language English Edition 2nd ISBN-10 0521617235 ISBN-13 9780521617239 Media Book Format Paperback DEWEY 531.015 Illustrations Yes Year 2005 Publication Date 2005-04-30 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Replaces 9780521643627 Affiliation Universite de Poitiers DOI 10.1604/9780521617239 Audience Professional and Scholarly UK Release Date 2005-05-19 AU Release Date 2005-05-19 NZ Release Date 2005-05-19 We've got this At The Nile, if you're looking for it, we've got it. 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