Global Stability of Stationary Solutions of Reaction-Diffusion System.

Abstract

A condition is given which implies that the trivial solution, U is identically equal to O, of a class of reaction-diffusion systems with homogenous Dirichlet boundary conditions, is a global attractor for all non-negative solutions. In certain cases, this condition, which relates the diffusion matrix and the domain to a parameter which depends on the nonlinear term, significantly improves similar conditions which can be obtained from energy estimates. Applications are given to equations arising in mathematical ecology.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA077138

Entities

People

  • Robert A. Gardner

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Chemical Engineering
  • Differential Equations
  • Diffusion
  • Equations
  • Equations Of State
  • Formulas (Mathematics)
  • Inequalities
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Phase Diagrams
  • Steady State
  • United States

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.
  • Linear Algebra