Stationary Patterns for Reaction-Diffusion Equations.

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)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA038943

Entities

People

  • Paul C. Fife

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Biology
  • Biophysics
  • Boundaries
  • Boundary Value Problems
  • Chemical Engineering
  • Developmental Biology
  • Diffusion
  • Eigenvalues
  • Equations
  • Inverse Problems
  • Mathematics
  • Numbers
  • Physics
  • Plateaus
  • Spectra
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.
  • Theoretical Analysis.

Technology Areas

  • Biotechnology