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MiS Preprint

Traveling wave speeds in rapidly oscillating media

Fathi Dkhil and Angela Stevens


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.

MSC Codes:
35B20, 35B27, 35B50, 35C20, 35K55, 35K57, 41A60
reaction-diffusion equations, homogenization, traveling wave speed

Related publications

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