Nonlinear Partial Differential Equations and their Applications: Collège de France Seminar Volume XIV

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Author(s): Doina Cioranescu and Jacques-Louis Lions (Eds.)
Series: Studies in Mathematics and Its Applications 31
Edition: 1
Publisher: Elsevier, Academic Press
Year: 2002

Language: English
Pages: 1-654
Tags: Математика;Дифференциальные уравнения;Дифференциальные уравнения в частных производных;

Content:
Preface
Page ix

Chapter 1 An introduction to critical points for intergral functionals Original Research Article
Pages 1-12
D. Arcoya, L. Boccardo

Chapter 2 A semigroup formulation for electrmagnetic waves in dispersive dielectric media Original Research Article
Pages 13-27
H.T. Banks, M.W. Buksas

Chapter 3 Limite non visqueuse pour les fluides incompressibles axisymetriques Original Research Article
Pages 29-55
J. Ben Ameur, R. Danchin

Chapter 4 Global properties of some nonlinear parabolic equations Original Research Article
Pages 57-67
M. Ben-Artzi

Chapter 5 A model for two coupled turbulent fluids part I: Analysis of the system Original Research Article
Pages 69-102
C. Bernardi, T. Chacón Rebollo, R. Lewandowski, F. Murat

Chapter 6 Determination de conditions aux limites en mer ouverte par une methode de controle optimal Original Research Article
Pages 103-132
F. Bosseur, P. Orenga

Chapter 7 Effective diffusion in vanishing viscosity Original Research Article
Pages 133-145
F. Campillo, A. Piatnitski

Chapter 8 Vibration of a thin plate with a “rough” surface Original Research Article
Pages 147-169
G. Chechkin, D. Cioranescu

Chapter 9 Anisotropy and dispersion in rotating fluids Original Research Article
Pages 171-192
J.-Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier

Chapter 10 Integral equations and saddle point formulation for scattering problems Original Research Article
Pages 193-212
F. Collino, B. Despres

Chapter 11 Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids Original Research Article
Pages 213-241
C. Conca, R. Gormaz, E. Ortega, M. Rojas

Chapter 12 Homogenization of dirichlet minimum problems with conductor type periodically distributed constraints Original Research Article
Pages 243-271
R. De Arcangelis

Chapter 13 Transport of trapped particles in a surface potential Original Research Article
Pages 273-296
P. Degond

Chapter 14 Diffusive energy balance models in climatology Original Research Article
Pages 297-328
J.I. Díaz

Chapter 15 Uniqueness and stability in the cauchy problem for maxwell and elasticity systems Original Research Article
Pages 329-349
M. Eller, V. Isakov, G. Nakamura, D. Tataru

Chapter 16 On the unstable spectrum of the euler equation Original Research Article
Pages 351-365
S. Friedlander

Chapter 17 Decomposition en profils des solutions de l'equation des ondes semi lineaire critique a l'exterieur d'un obstacle strictement convexe Original Research Article
Pages 367-392
I. Gallagher, P. Gérard

Chapter 18 Upwind discretizations of a steady grade-two fluid model in two dimensions Original Research Article
Pages 393-414
V. Girault, L.R. Scott

Chapter 19 Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings Original Research Article
Pages 415-456
H. Haddar, P. Joly

Chapter 20 Remarques sur la limite α→0 pour les fluides de grade 2 Original Research Article
Pages 457-468
D. Iftimie

Chapter 21 Remarks on the kompaneets equation, a simplified model of the fokker-planck equation Original Research Article
Pages 469-487
O. Kavian

Chapter 22 Singular perturbations without limit in the energy space. Convergence and computation of the associated layers Original Research Article
Pages 489-507
D. Leguillon, E. Sanchez-Palencia, C. De Souza

Chapter 23 Optimal design of gradient fields with applications to electrostatics Original Research Article
Pages 509-532
Robert Lipton, Ani P. Velo

Chapter 24 A blackbox reduced-basis output bound method for noncoercive linear problems Original Research Article
Pages 533-569
Y. Maday, A.T. Patera, D.V. Rovas

Chapter 25 Simulation of flow in a glass tank Original Research Article
Pages 571-590
V. Nefedov, R.M.M. Mattheij

Chapter 26 Control localized on thin structures for semilinear parabolic equations Original Research Article
Pages 591-645
P.A. Nguyen, J.-P. Raymond

Chapter 27 Stabilite des ondes de choc de viscosite qui peuvent etre caracteristiques Original Research Article
Pages 647-654
D. Serre