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Shock Waves and ReactionDiffusion Equations (Grundlehren der mathematischen Wissenschaften)

 
 
 
 
Shock Waves and ReactionDiffusion Equations (Grundlehren der mathematischen Wissenschaften)
Author: Joel Smoller
ISBN 13: 9780387942599
ISBN 10: 387942599
Edition: 2nd
Publisher: Springer
Publication Date: 1994-10-14
Format: Hardcover
Pages: 634
List Price: $229.00
 
 

The purpose of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by Charles Conley. It presents the modern ideas in these fields in a way that is accessible to a wider audience than just mathematicians.
The book is divided into four main parts: linear theory, reaction-diffusion equations, shock-wave theory, and the Conley index. For the second edition numerous typographical errors and other mistakes have been corrected and a new chapter on recent results has been added. The new chapter contains discussions of the stability of traveling waves, symmetry-breaking bifurcations, compensated compactness, viscous profiles for shock waves, and general notions for construction traveling-wave solutions for systems of nonlinear equations.