Titre : |
Shock Waves and Reaction-Diffusion Equations |
Type de document : |
texte imprimé |
Auteurs : |
Joël SMOLLER, Auteur |
Editeur : |
Springer Verlag |
Année de publication : |
1983 |
Importance : |
581 p. |
ISBN/ISSN/EAN : |
978-3-540-90752-7 |
Note générale : |
Acknowledgment
Preface
Contents
List of Frequently Used Symbols
Bibliography
Author Index
Subject Index |
Catégories : |
Calcul intégral Equations différentielles Ondes de choc
|
Index. décimale : |
515.3 Calcul différentiel et équations différentielles |
Résumé : |
BASIC LINEAR THEORY
Ill-Posed Problems
Characteristics and Initial-Value Problems
The One-Dimensional Wave Equation
Uniqueness and Energy Integrals
Holmgren's Uniqueness Theorem
An Initial-Value Problem for a Hyperbolic Equation
Distribution Theory
Second-Order Linear Elliptic Equations
REACTION - DIFFUSION EQUATIONS
Comparison Theorems and Monotonicity Methods
Linearization
Topological Methods
Bifurcation Theory
Systems of Reaction-Diffusion Equations
THE THEORY OF SHOCK WAVES
Discontinuous Solutions of Conservation Laws
The Single Conservation Law
The Riemann Problem for Systems of Conservation Laws
Applications to Gas Dynamics
The Glimm Difference Scheme
Riemann Invariants, Entropy, and Uniqueness
Quasi-Linear Parabolic Systems
THE CONLEY INDEX
The Conley Index
Index Pairs and the Continuation Theorem
Travelling Waves
|