Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems - Couverture rigide

Serre, Denis

 
9780521633307: Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems
Couverture rigide
ISBN 10 : 0521633303 ISBN 13 : 9780521633307
Editeur : Cambridge University Press, 2000

Synopsis

A graduate text on mathematical theory of conservation laws and partial differential equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Systems of conservation laws arise naturally in physics and chemistry. Following on from the previous volume, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. This tool is applied to the description of large amplitude wave propagation. Small waves are studied through geometrical optics. Special structures are presented in chapters on Rich and Temple systems. Finally, Serre explains why the initial-boundary value problem is far from trivial, with descriptions of the Kreiss–Lopatinski condition for well-posedness, with applications to shock wave stability, and certain problems in boundary layer theory. Throughout the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.

Revue de presse

'... an exciting book ... this book can be seriously recommended for mathematicians working in the modern fields under question ... treats the development of recent years exhaustively.' R. Ansorge, ZAMM

'... presents ideas on the cutting edge of research ... The reader ... will find a fascinating array of new tools being brought to bear on nonlinear HPDEs.' T. J. Bridges, Contemporary Physics

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2000
Langue
anglais
ISBN 10 
0521633303
ISBN 13 
9780521633307
Reliure
Relié
Nombre de pages
282
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France