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

Posted on 2011-04-16




Name:Shock Waves and Reaction-Diffusion Equations (Comprehensive Manuals of Surgical Specialties) by Joel Smoller
ASIN/ISBN:0387907521
Publisher:Springer (January 1983)
Pages:581
File size:4.82 Mb
Publisher: Springer (January 1983)
ISBN: 0387907521
Pages: 581
File Size: 4.82 MB
Other Info: DJVU
   Shock Waves and Reaction-Diffusion Equations (Comprehensive Manuals of Surgical Specialties) by Joel Smoller



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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.

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