On Traveling Wave Solutions of Non-Linear Diffusion Equations.

Abstract

An existence proof for periodic traveling wave solutions of an equation of Nagumo is outlined. The proof begins with the analysis of a limiting case in which one set of dependent variables moves infinitely fast compared to the remainder. Singular 'orbits' are defined for this limiting system and a perturbation argument using isolating blocks allows one to find actual solutions.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1975
Accession Number
ADA010057

Entities

People

  • C. Conley

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Diffusion
  • Equations
  • Mathematics
  • Perturbations
  • Traveling Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis

Technology Areas

  • Space
  • Space - Orbital Debris