Shock Waves and Reaction-Diffusion Equations (Comprehensive Manuals of Surgical Specialties) by Joel Smoller

Category	Uncategorized
ISBN10	0387907521
Tags	equations reaction-diffusion shock theory waves
Description	Shock Waves and Reaction-Diffusion Equations (Comprehensive Manuals of Surgical Specialties) by Joel SmollerPublisher: Springer (January 1983) \| ISBN: \| Pages: 581 \| DJVU \| 4.82 MBThe 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.

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