On Traveling Wave Solutions of Non-Linear Diffusion Equations.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
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.
- Theoretical Mathematics