K. J. Brown / A. A. Lacey (eds.)

Reaction-Diffusion Equations

Herausgeber: Brown, K J; Lacey, A A

• Gebundenes Buch

Produktbeschreibung

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.

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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.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Hurst & Co.
• Seitenzahl: 234
• Erscheinungstermin: 15. November 1990
• Englisch
• Abmessung: 242mm x 165mm x 19mm
• Gewicht: 531g
• ISBN-13: 9780198533788
• ISBN-10: 0198533780
• Artikelnr.: 22416275

Inhaltsangabe

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.