Critical wave speeds for a family of scalar reaction-diffusion equations
Journal Article (Journal Article)
We study the set of traveling waves in a class of reaction-diffusion equations for the family of potentials f (U) = 2U (1 - U). We use perturbation methods and matched asymptotics to derive expansions for the critical wave speed that separates algebraic and exponential traveling wave front solutions for m → 2 and m → ∞. Also, an integral formulation of the problem shows that nonuniform convergence of the generalized equal area rule occurs at the critical wave speed. © 2000 Elsevier Science Ltd. All rights reserved. m m
Full Text
Duke Authors
Cited Authors
- Witelski, TP; Ono, K; Kaper, TJ
Published Date
- January 1, 2001
Published In
Volume / Issue
- 14 / 1
Start / End Page
- 65 - 73
International Standard Serial Number (ISSN)
- 0893-9659
Digital Object Identifier (DOI)
- 10.1016/S0893-9659(00)00114-2
Citation Source
- Scopus