Shock Waves and Reaction-Diffusion Equations

摘要: The purpose of this book is to make easily available the basics theory hyperbolic conservation laws and systems reaction-diffusion equations, including generalized Morse as developed by Charles Conley. It presents modern ideas in these fields a way that accessible wider audience than just mathematicians. divided into four main parts: linear theory, shock-wave Conley index. For second edition, typographical errors other mistakes have been corrected new chapter on recent results has added. contains discussion stability travelling waves, symmetry-breaking bifurcations, compensated compactness, viscous profiles for shock general notions constructing travelling-wave solutions non-linear equations.