Accession Number:

ADA038943

Title:

Stationary Patterns for Reaction-Diffusion Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-01-01

Pagination or Media Count:

53.0

Abstract:

Patterns are defined to be stable stationary nonconstant solutions of the equations of reaction and diffusion. Several approaches are used to show the existence or nonexistence of patterns depending on one variable and defined on the entire real line. For a scalar equation, it is shown that there are essentially no patterns. For a system, small amplitude patterns, larger amplitude peaks, and larger amplitude plateaus are treated. In all cases, stability is an important consideration. Applications to ecology and biophysics are mentioned. Author

Subject Categories:

  • Biology
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE