Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion

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Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion

We study the velocity of travelling waves of a reaction-diffusion system coupling a standard reaction-diffusion equation in a strip with a one-dimensional diffusion equation on a line. We show that it grows like the square root of the diffusivity on the line. This generalises a result of Berestycki, Roquejoffre and Rossi in the context of Fisher-KPP propagation where the question could be reduc...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2016

ISSN: 0002-9947,1088-6850

DOI: 10.1090/tran/6776