A singular limit in a fractional reaction-diffusion equation with periodic coefficients

Alexis Léculier

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arXiv · 1804.09938

A singular limit in a fractional reaction-diffusion equation with periodic coefficients

Alexis Léculier

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Abstract

We provide an asymptotic analysis of a non-local Fisher-KPP type equation in periodic media and with a non-local stable operator of order $\alpha$ $\in$ (0, 2). We perform a long time-long range scaling in order to prove that the stable state invades the unstable state with a speed which is exponential in time.

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Alexis Léculier. 2018-04-26. A singular limit in a fractional reaction-diffusion equation with periodic coefficients. https://arxiv.org/abs/1804.09938

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