Large Diffusivity and Asymptotic Behavior in Parabolic Systems.

Abstract

For systems of reaction-diffusion equations with Neumann boundary conditions, it is shown that the solutions are asymptotic to the solutions of an ordinary differential equation if the diffusivity is large. The methods apply also to reaction-diffusion systems with time delays. Keywords: Applied mathematics; Differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA166197

Entities

People

  • Jack K. Hale

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Boundaries
  • Classification
  • Convex Sets
  • Difference Equations
  • Differential Equations
  • Diffusion
  • Diffusion Coefficient
  • Diffusivity
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.