Reaction-Diffusion Equations [Hardcover]

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.

1. Blowup for Some Reactive-Euler Induction Models,J. Bebernes and A. Bressan
2. A New Scaling of a Problem in Combustion Theory,G.C. Wake et al.
3. Patterns, Waves and Interfaces in Excitable Reaction-Diffusion Systems,M. Mimura
4. Reduced Equivariant Conley Index and Applications,J. Smoller and A. Wasserman
5. Remarks on the Equilibrium Theory for the Cahn-Hilliard Equation in One Space Dimension,N.D. Alikakos and W.R. McKinney
6. Excitability Behaviour of Myelinated Axon Models,J. Bell
7. Eigenvalue Problems with Indefinite Weights and Reaction-Diffusion Models in Population Dynamics,C. Cosner
8. Mathematical Aspects of Electrophoresis,P.C. Fife and X. Geng
9. Topological Methods for the Study of Travelling Wave Solutions of Reaction-Diffusion Systems,R.A. Gardner
10. Maximum Principles and Decoupling for Positive Solutions of Reaction-Diffusion Systems,J. Hernandez

A good collection of research articles on reaction-diffusion equations. . . .This set of articles should be appreciated by a. . .wide audience in applied mathematicians and their graduate students. --SIAM Review