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MiS Preprint
88/2005

Traveling wave speeds in rapidly oscillating media

Fathi Dkhil and Angela Stevens

Abstract

In this paper we study the effects of periodically varying heterogeneous media on the speed of traveling waves in reaction-diffusion equations. Under suitable conditions the traveling wave speed of the non-homogenized problem can be calculated in terms of the speed of the homogenized problem. We discuss a variety of examples and focus especially on the influence of the symmetric and antisymmetric part of the diffusion matrix on the wave speed.

Received:
Oct 10, 2005
Published:
Oct 10, 2005
MSC Codes:
35B20, 35B27, 35B50, 35C20, 35K55, 35K57, 41A60
Keywords:
reaction-diffusion equations, homogenization, traveling wave speed

Related publications

inJournal
2009 Repository Open Access
Fathi Dkhil and Angela Stevens

Traveling wave speeds in rapidly oscillating media

In: Discrete and continuous dynamical systems / A, 25 (2009) 1, pp. 89-108