Shock Waves and Reaction―Diffusion Equations
Publisher: Springer
Published: Oct 08, 2012
Format: paperback
Number of pages: 657
ISBN-13: 9781461269298
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.
Notes: Source title: Shock Waves and Reaction―Diffusion Equations (Grundlehren der mathematischen Wissenschaften (258))