Asymptotic Behavior of Semilinear Reaction-Diffusion Systems with Dirichlet Boundary Conditions.

Abstract

This paper give conditions which imply the existence of a unique, globally attracting steady state solution of a certain class of reaction-diffusion systems with inhomogeneous Dirichlet conditions. In addition, an example is given which shows that when the above conditions are not satisfied the steady state may bifurcate. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA063997

Entities

People

  • Robert A. Gardner

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Chemical Reactors
  • Differential Equations
  • Diffusion
  • Equations
  • Mathematics
  • Military Research
  • North Carolina
  • Partial Differential Equations
  • Reactor Theory
  • Steady State
  • Triangles
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Linear Algebra
  • Mathematical Modeling and Probability Theory.