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

2018/04/26 by Alexis Léculier, Léculier, Alexis
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1804.09938

openalex publication_date 2018/04/26 · openalex created_date 2018/05/07 · openalex updated_date 2026/07/28

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 α ∈ (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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