Stability and Bifurcation in a Parabolic Equation.

Abstract

Recent results on the stability of equilibrium solutions of a parabolic equation are given with indications of the proofs. Particular attention is devoted to dependence of the stability properties on the shape of the domain and the manner in which nonhomogeneous stable equilibria can occur through a bifurcation induced by varying the domain. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 22, 1980
Accession Number
ADA091645

Entities

People

  • Jack K. Hale

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algebra
  • Applied Mathematics
  • Boundaries
  • Eigenvalues
  • Equations
  • Geometry
  • Inequalities
  • Invariance
  • Mathematics
  • Polynomials
  • Rhode Island
  • Security
  • Topology
  • United States
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.