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Article Dans Une Revue Applied Mathematics Research eXpress Année : 2015

Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion

Résumé

We prove existence and uniqueness of travelling waves for a reaction-diffusion system coupling a classical reaction-diffusion equation in a strip with a diffusion equation on a line. To do this we use a sequence of continuations which leads to further insight into the system. In particular, the transition occurs through a singular perturbation which seems new in this context, connecting the system with a Wentzell type boundary value problem.
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Dates et versions

hal-01137481 , version 1 (30-03-2015)
hal-01137481 , version 2 (27-04-2015)

Identifiants

Citer

Laurent Dietrich. Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion. Applied Mathematics Research eXpress, 2015, pp.doi: 10.1093/amrx/abv002. ⟨10.1093/amrx/abv002⟩. ⟨hal-01137481v2⟩
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