Nonlinear Partial Differential Equations and Their Applications: Volume 31
College de France Seminar Volume XIV
Published on 21. June 2002
Book
Hardback
664 pages
978-0-444-51103-4 (ISBN)
Description
This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the College 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.
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.
Reviews / Votes
"...it is shown that the Kompaneets equation has solutions which blow up in finite time." --Zentralblatt fuer Mathematik, 2004More details
Series
Language
English
Place of publication
United States
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
Product notice
Laminated cover
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 37 mm
Weight
1106 gr
ISBN-13
978-0-444-51103-4 (9780444511034)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Content
An introduction to critical points for integral functionals (D. Arcoya, L. Boccardo).A semigroup formulation for electromagnetic waves in dispersive dielectric media (H.T. Banks, M.W. Buksas).Limite non visqueuse pour les fluides incompressibles axisymetriques (J. Ben Ameur, R. Danchin).Global properties of some nonlinear parabolic equations (M. Ben-Artzi).A model for two coupled turbulent flows. Part I: analysis of the system (C. Bernardi, T. Chacon Rebollo, R. Lewandowski, F. Murat).Determination de conditions aux limites en mer ouverte par une methode de controle optimal (F. Bosseur, P. Orenga).Effective diffusion in vanishing viscosity (F. Campillo, A. Piatnitski).Vibration of a thin plate with a "rough" surface (G. Chechkin, D. Cioranescu).Anisotropy and dispersion in rotating fluids (J.-Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier).Integral equations and saddle point formulation for scattering problems (F. Collino, B. Despres).Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids (C. Conca, R. Gormaz, E. Ortega, M. Rojas).Homogenization of Dirichlet minimum problems with conductor type periodically distributed constraints (R. De Arcangelis).Transport of trapped particles in a surface potential (P. Degond).Diffusive energy balance models in climatology (J.I. Diaz).Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems (M. Eller, V. Isakov, G. Nakamura, D. Tataru).On the unstable spectrum of the Euler equation (S. Friedlander).Decomposition en profils des solutions de l'equation des ondes semi lineaire critique a l'exterieur d'un obstacle strictement convexe (I. Gallagher, P. Gerard).Upwind discretizations of a steady grade-two fluid model in two dimensions (V. Girault, L.R. Scott).Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings (H. Haddar, P. Joly).Remarques sur la limite ? 0 pour les fluides de grade 2 (D. Iftimie).Remarks on the Kompaneets equation, a simplified model of the Fokker-Planck equation (O. Kavian).Singular perturbations without limit in the energy space. Convergence and computation of the associated layers (D. Leguillon, E. Sanchez-Palencia, C. de Souza).Optimal design of gradient fields with applications to electrostatics (R. Lipton, A.P. Velo).A blackbox reduced-basis output bound method for noncoercive linear problems (Y. Maday, A.T. Patera, D.V. Rovas).Simulation of flow in a glass tank (V. Nefedov, R.M.M. Mattheij).Control localized on thin structures for semilinear parabolic equations (P.A. Nguyen, J.-P. Raymond).Stabilite des ondes de choc de viscosite qui peuvent etre caracteristiques (D. Serre).