Reaction-Diffusion Equations
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Product details:
- Publisher Clarendon Press
- Date of Publication 11 October 1990
- ISBN 9780198533788
- Binding Hardback
- No. of pages234 pages
- Size 241x160x19 mm
- Weight 547 g
- Language English
- Illustrations line illustrations throughout 0
Categories
Short description:
Reaction-diffusion equations form a class of differential equations which in recent years have seen great steps forward. This volume comprises a collection of articles on the theme of the theory and applications of reaction-diffusion equations. All the contributors are experts in their respective fields and together the articles will provide a coherent perspective to the current state of research in this area.
MoreLong description:
Reaction-diffusion equations form a class of differential equations which in recent years have seen great steps forward both in the understanding of their analytical structure and in their application to a wide variety of scientific phenomena. This volume comprises a collection of articles on the theme of the theory and applications of reaction-diffusion equations. All the contributors are experts in their respective fields and together the articles will provide a coherent perspective to the current state of research in this area.
Some of the articles survey particular applications such as in combustion theory, electrochemistry, and problems arising in the biological sciences such as cellular neurobiology and population dynamics. Other articles concentrate on the analytic behaviour of reatcion-diffusion equations such as blow-up, the formation of patterns, travelling wave solutions, and the Conley index.
'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
Table of Contents:
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.
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