Reaction-Diffusion Equations

ISBN-13: 9780198533788 / Angielski / Twarda / 1990 / 240 str.

K. J. Brown; A. A. Lacey

Opis

This unique volume provides a valuable overview on the current state of work in the rapidly developing field of reaction-diffusion equations. Some of the articles survey particular applications such as in combustion theory, electrochemistry, and neurobiology. Other papers focus on the analytic behavior of reaction-diffusion equations such as blow-up, the formation of patterns, travelling wave solutions, and the Conley index. The contributors are internationally respected experts in their respective fields.

Recenzje

'presents the proceedings of a symposium year held in 1987/88 at Heriot-Watt University in Edinburgh and contains 10 selected contributions by renowned researchers in this area' J. Hofbauer, Monashcafte fur Mathematic

Spis treści

Addresses of contributors; J. Bebernes & Alberto Bressan: Blow-up for some reactive-Euler induction models; G.C. Wake, J. Burnell, J.G. Graham-Eagle, & B.F. Gray: A new scaling of a problem in combustion theory; Masayasu Mimura: Patterns, waves and interfaces in excitable reaction-diffusion systems; J. Smoller & A. Wasserman: Reduced equivariant Conley index and applications ; Nicholas D. Alikakos & William R. McKinney: Remarks on the equilibrium theory for the Cahn-Hilliard equation in one space dimension; Jonathan Bell: Excitability behaviour of myelinated axon models; Chris Cosner: Eigenvalue problems with indefinite weights and reaction-diffusion models in population dynamics; Paul C. Fife & Xiao Geng: Mathematical aspects of electrophoresis; R.A. Gardner: Topological methods for the study of travelling wave solutions of reaction-diffusion systems; Jesus Hernandez: Maximum principles and decoupling for positive solutions of reaction-diffusion systems.