Shock Waves and Reaction—Diffusion Equations

✍ Scribed by Joel Smoller (auth.)

• Book ID: 127420778
• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 5 MB
• Edition: 2nd ed
• Category: Library
• City: New York
• ISBN: 1468401521
• ASIN: B001BAFO6S
• DOI: 10.1007/978-1-4684-0152-3

✦ 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.

✦ Subjects

Acoustics