Preprints, Working Papers, ... Year : 2014

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

Abstract

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 and versions

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

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Laurent Dietrich. Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion. 2014. ⟨hal-01137481v1⟩
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