Accession Number:

ADA010057

Title:

On Traveling Wave Solutions of Non-Linear Diffusion Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Conley,C.

Report Date:

1975-02-01

Pagination or Media Count:

19.0

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.

Descriptors:

• *APPROXIMATION(MATHEMATICS)
• *DIFFERENTIAL EQUATIONS
• TOPOLOGY
• TRAVELING WAVES
• HAMILTONIAN FUNCTIONS
• DIFFUSION THEORY

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE