Stable Equilibria with Variable Diffusion.

Abstract

For a scalar nonlinear parabolic equation in one space dimension with homogeneous Neumann boundary conditions, criteria are given on the diffusion coefficient to ensure that the stable equilibrium solutions are constant functions regardless of the nonlinearities. The Dirichlet problem is also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1982
Accession Number
ADA117051

Entities

People

  • Jack K. Hale
  • Michel Chipot

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Arrhenius Equation
  • Boltzmann Equation
  • Coefficients
  • Contracts
  • Diffusion
  • Diffusion Coefficient
  • Eigenvalues
  • Equations
  • Mathematics
  • Military Research
  • Rhode Island
  • Security
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space