Nonlinear Partial Differential Equations and Their Applications: Collège de France Seminar, Volume 14 (Google eBook)

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Elsevier, Jun 21, 2002 - Mathematics - 664 pages
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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 texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations
The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.

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Contents

Chapter 1 An introduction to critical points for integral functionals
1
Chapter 2 A semigroup formulation for electromagnetic waves in dispersive dielectric media
13
Chapter 3 Limite non visqueuse pour les fluides incompressibles axisymétriques
29
Chapter 4 Global properties of some nonlinear parabolic equations
57
analysis of the system
69
Chapter 6 Détermination de conditions aux limites en mer ouverte par une méthode de controle optimal
103
Chapter 7 Effective diffusion in vanishing viscosity
133
Chapter 8 Vibration of a thin plate with a rough surface
147
Chapter 15 Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems
329
Chapter 16 On the unstable spectrum of the Euler equation
351
Chapter 17 Décomposition en profils des solutions de léquation des ondes semi linéaire critique á lextérieur dun obstacle strictement convexe
367
Chapter 18 Upwind discretizations of a steady gradetwo fluid model in two dimensions
393
Chapter 19 Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings
415
Chapter 20 Remarques sur la limite a 0 pour les fluides de grade 2
457
Chapter 21 Remarks on the Kompaneets equation a simplified model of the FokkerPlanck equation
469
Chapter 22 Singular perturbations without limit in the energy space Convergence and computation of the associated layers
489

Chapter 9 Anisotropy and dispersion in rotating fluids
171
Chapter 10 Integral equations and saddle point formulation for scattering problems
193
Chapter 11 Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids
213
Chapter 12 Homogenization of Dirichlet minimum problems with conductor type periodically distributed constraints
243
Chapter 13 Transport of trapped particles in a surface potential
273
Chapter 14 Diffusive energy balance models in climatology
297
Chapter 23 Optimal design of gradient fields with applications to electrostatics
509
Chapter 24 A blackbox reducedbasis output bound method for noncoercive linear problems
533
Chapter 25 Simulation of flow in a glass tank
571
Chapter 26 Control localized on thin structures for semilinear parabolic equations
591
Chapter 27 Stabilité des ondes de choc de viscosité qui peuvent être caractéristiques
647
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Cioranescu, Centre National de la Recherche Scientifique.

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