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Technical Shock Waves and Reaction-Diffusion Equations

Posted on 2010-04-30




Name:Technical Shock Waves and Reaction-Diffusion Equations
ASIN/ISBN:0387942599
Publish Date:1994
Pages:660 pages
File size:10.9 Mb
Publish Date: 1994
ISBN: 0387942599, 3540942599
Pages: 660 pages
File Type: PDF
File Size: 10,9 MB
Other Info: Springer
   Technical Shock Waves and Reaction-Diffusion Equations

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Joel Smoller, "Shock Waves and Reaction-Diffusion Equations"

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.

Summary: Great book

Rating: 5

Written clearly. No details spared. Can find some good ideas for research in the book.

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