Nonlinear partial differential equations and their applications Collège de France seminar volume XIV

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The te...

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Bibliographic Details
Main Author: Cioranescu, D.
Corporate Author: Collège de France
Other Authors: Lions, J.-L.
Format: eBook
Published: Amsterdam Elsevier 2002, 2002
Series:Studies in mathematics and its applications
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Chapter 1. An introduction to critical points for integral functionals
  • Chapter 2. A semigroup formulation for electromagnetic waves in dispersive dielectric media
  • Chapter 3. Limite non visqueuse pour les fluides incompressibles axisymétriques
  • Chapter 4. Global properties of some nonlinear parabolic equations
  • Chapter 5. A model for two coupled turbulent flows
  • Chapter 6. Determination de conditions aux limites en mer ouverte par une methode de controle optimal
  • Chapter 7. Effective diffusion in vanishing viscosity
  • Chapter 8. Vibration of a thin plate with a "rough" surface
  • Chapter 9. Anisotropy and dispersion in rotating fluids
  • Chapter 10. Integral equations and saddle point formulation for scattering problems
  • Chapter 11. Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids
  • Chapter 12. Homogenization of dirichlet minimum problems with conductor type periodically distributed constraints
  • Chapter 13. Transport of trapped particles in a surface potential
  • Chapter 14. Diffusive energy balance models in climatology
  • Chapter 15. Uniqueness and stability in the cauchy problem for maxwell and elasticity systems
  • Chapter 16. On the unstable spectrum of the euler equation
  • Chapter 17. Decomposition en profils des solutions de l'equation des ondes semi lineaire critique a l'exterieur d'un obstacle strictement convexe
  • Chapter 18. Upwind descretizations of a steady grade-two fluid model in two dimensions
  • Chapter 19. Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings
  • Chapter 20. Remarques sur la limite [alpha]
  • >0 pour les fluides de grade 2
  • Chapter 21. Remarks on the kompaneets equation, a simplified model of the fokker-planck equation
  • Chapter 22. Singular perturbations without limits in the energy space. Convergence and computation of the associated layers
  • Chapter 23. Optimal design of gradient fields with applications to electrostatics
  • Chapter 24. A blackbox reduced-basis output bound method for noncoercive linear problems
  • Chapter 25. Simulation of flow in a glass tank
  • Chapter 26. Control localized on thin structures for semilinear parabolic equations
  • Chapter 27. Stabilite des ondes de choc de viscosite qui peuvent etre caracteristiques
  • Includes bibliographical references