Mathematical Modeling in Continuum Mechanics Temam Miranville Paperback 2e

Description: Mathematical Modeling in Continuum Mechanics Topics include: viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics and solitons. Roger Temam (Author), Alain Miranville (Author) 9780521617239, Cambridge University Press Paperback / softback, published 19 May 2005 356 pages 22.8 x 15.5 x 1.7 cm, 0.52 kg '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 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. 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. Subject Areas: Nonlinear science [PBWR], Mathematical modelling [PBWH], Applied mathematics [PBW]

Price: 43.29 GBP

Location: AL7 1AD

End Time: 2025-02-13T19:42:59.000Z

Shipping Cost: N/A GBP