Accession Number:

ADA149865

Title:

A Nonlinear Parabolic Equation with Varying Domain,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1984-01-01

Pagination or Media Count:

26.0

Abstract:

This document considers a boundary value problem where the basic problem is to understand how new equilibrium solutions may appear for a given nonlinear function f as the domain omega is changed, these new solutions being bifurcations from known equilibrium solutions. For a given cubic function f, an intuitive discussion of this phenomenon was given by HALE, indicating how stable non-constant equilibria appear as secondary rather than primary bifurcations. Additional keywords continuity, perturbations, reprints.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE