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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Shock Waves and Reaction-Diffusion Equations
• Author: Joel Smoller
• Language: English
• Binding: Paperback
• Number of pages: 634
• EAN: 9781461269298
• ISBN: 1461269296
• ID: 02016214
• Publisher: Springer-Verlag New York Inc.
• Weight: 1012 g
• Dimensions: 165 × 238 × 39 mm
• Date of publishing: 08. October 2012

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