Contemporary Developments in Continuum Mechanics and Partial Differential Equations (eBook)

Proceedings of the International Symposium on Continuum Mechanics and Partial Differential Equations, Rio de Janeiro, August 1977

eBook Download: PDF

1978 | 1. Auflage
612 Seiten
Elsevier Science (Verlag)
978-0-08-087141-7 (ISBN)

Infos

Contemporary developments in continuum mechanics and partial differential equations

Inhalt

Front Cover 1
Contemporary Developments in Continuum Mechanics and Partial Differential Equations 4
Copyright Page 5
Contents 8
Foreword 6
Chapter 1. A family of semi-inverse problems of nonlinear elasticity 10
Chapter 2. Asymptotic properties of general symmetric hyperbolic systems 34
Chapter 3. The Cauchy problem for the coupled Schroedinger- Klein-Gordon equations 46
Chapter 4. Applications of generic bifurcation theory in fluid mechanics 54
Chapter 5. The Hamilton-Jacobi-Bellman equation for two operators via variational inequalities 83
Chapter 6. Nonlinear problems related to the Thomas-Fermi equation 90
Chapter 7. Global solvability and hypoellipticity of abstract complexes and equations 99
Chapter 8. On the inverse scattering problem for linear evolution equations 111
Chapter 9. Nonlinear bifurcation problem and buckling of an elastic plate subjected to unilateral conditions in its plane 121
Chapter 10. On the thermodynamics of non-classical systems 144
Chapter 11. On an inequality in thermodynamic stability 152
Chapter 12. Least square solution of non linear problems in fluid dynamics 180
Chapter 13. Elastic bodies in a Signorini-type environment 234
Chapter 14. On the nonlinear theory of elasticity 246
Chapter 15. Constitutive equations and free surfaces 263
Chapter 16. On some questions in boundary value problems of mathematical physics 293
Chapter 17. Memory effects in one-dimensional problems of continuum mechanics 356
Chapter 18. A general framework for problems in the statics of finite elasticity 372
Chapter 19. Elliptic metrics on Lorentz manifolds 397
Chapter 20. Boundary value problems for equations of mixed type 405
Chapter 21. A free boundary, nonlinear eigenvalue problem 409
Chapter 22. The concepts of thermodynamics 420
Chapter 23. The nonlinear Schrödinger equation 461
Chapter 24. Derivative dependent infinitesimal deformations of differentiable functions 475
Chapter 25. Non linear constitutive relations and homogenization 481
Chapter 26. Qualitative properties of Navier-Stokes equations 494
Chapter 27. Some challenges offered to analysis by rational thermodynamics 504
Chapter 28. Some simplified equations from the theory of mixtures 613
Author Index 622

Produkt-Details

• Erscheint lt. Verlag: 1.1.1978
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik
• ISBN-10: 0-08-087141-0 / 0080871410
• ISBN-13: 978-0-08-087141-7 / 9780080871417