Accession Number : ADA117051

Title :   Stable Equilibria with Variable Diffusion.

Descriptive Note : Interim rept.,

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

Personal Author(s) : Chipot,Michel ; Hale,Jack K

PDF Url : ADA117051

Report Date : Mar 1982

Pagination or Media Count : 8

Abstract : For a scalar nonlinear parabolic equation in one space dimension with homogeneous Neumann boundary conditions, criteria are given on the diffusion coefficient to ensure that the stable equilibrium solutions are constant functions regardless of the nonlinearities. The Dirichlet problem is also discussed. (Author)

Descriptors :   *Nonlinear differential equations, *Constants, *Diffusion coefficient, Equilibrium(General), Stability, Boundaries, Solutions(General), Homogeneity, Parabolas, Scalar functions, Theorems, Parabolas, Dirichlet integral

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE