Propagation in a Fractional Reaction-Diffusion Equation in a Periodically Hostile Environment

被引：2

作者：

Leculier, Alexis ^{[1
]}

Mirrahimi, Sepideh ^{[2
]}

Roquejoffre, Jean-Michel ^{[1
]}

机构：

[1] Univ Toulouse 3, Inst Math Toulouse, UMR 5219, 118 Route Narbonne, F-31062 Toulouse 4, France

[2] Univ Toulouse, Inst Math Toulouse, UMR 5219, CNRS,UPS IMT, F-31062 Toulouse 9, France

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2021年 / 33卷 / 02期

基金：

欧洲研究理事会;

关键词：

Non-local fractional operator; Fisher KPP; Asymptotic analysis; Exponential speed of propagation; Perturbed test function; LAPLACIAN; REGULARITY; LIMIT; MODEL;

D O I：

10.1007/s10884-020-09837-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state n(+), we prove that it invades the unstable state zero exponentially fast in time.

引用

页码：863 / 890

页数：28

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