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Article

Travelling wave speeds in rapidly oscillating media

Angela Stevens , Dkhil Fathi, -0001

Discrete and Continuous Dynamical Systems Séries A, 25, 1, 89-108, 2009,

Résumé

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.