Shock Waves and Reaction―Diffusion Equations
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Author
Publication
2012-10-08 - Springer
Word Count
164,250 words, Guess
Page Count
657 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL29300883M
- ISBN-139781461269298
- ISBN-101461269296
Classifications
- LCCQA299.6-433
Description
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.
Subjects
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