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arXiv · 1905.04880

Propagation in a fractional reaction-diffusion equation in a periodically hostile environment

Alexis Léculier·Sepideh Mirrahimi·Jean-Michel Roquejoffre
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Abstract

We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected 1-dimensional media with Dirichlet conditions outside the domain. After demonstrating the existence and uniqueness of a non-trivial bounded stationary state $n\_+$ , we prove that the stable state $n\_+$ invades the unstable state 0 with a speed which is exponential in time.

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Alexis Léculier, Sepideh Mirrahimi, Jean-Michel Roquejoffre. 2019-05-13. Propagation in a fractional reaction-diffusion equation in a periodically hostile environment. https://arxiv.org/abs/1905.04880

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