Accession Number : ADA185804

Title :   Shadow Systems and Attractors in Reaction-Diffusion Equations,

Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Hale, Jack K ; Sakamoto, Kunimochi

PDF Url : ADA185804

Report Date : Apr 1987

Pagination or Media Count : 30

Abstract : For a pair of reaction diffusion equations with one diffusion coefficient very large, there is associated a reaction diffusion equation coupled with an ordinary differential equation (the shadow system) with nonlocal effects which has the property that it contains all of the essential dynamics of the original equations. Keywords: Theorems; Graphs; Partial differential equations.

Descriptors :   *DIFFUSION COEFFICIENT, *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, DIFFUSION, DYNAMICS, EQUATIONS, GRAPHS, RESPONSE, SHADOWS, PERTURBATIONS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE