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 reactiondiffusion 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, reactiondiffusion equations, shockwave 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, symmetrybreaking bifurcations, compensated compactness, viscous profiles for shock waves, and general notions for construction travelingwave solutions for systems of nonlinear equations.

Authors: Smoller J.  Pages: 550 Year: 1980 
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