Propagation in Fisher-KPP type equations with fractional diffusion in periodic media

被引：19

作者：

Cabre, Xavier ^{[1
,2
]}

Coulon, Anne-Charline ^{[3
]}

Roquejoffre, Jean-Michel ^{[3
]}

机构：

[1] ICREA, Barcelona 08028, Spain

[2] Univ Politecn Cataluna, Dep Matemat Aplicada 1, Barcelona 08028, Spain

[3] Univ Toulouse 3, Inst Math, CNRS, UMR 5219, F-31062 Toulouse, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 19-20期

关键词：

D O I：

10.1016/j.crma.2012.10.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are interested in the time asymptotic location of the level sets of solutions to Fisher-KPP reaction-diffusion equations with fractional diffusion in periodic media. We show that the speed of propagation is exponential in time, with a precise exponent depending on a periodic principal eigenvalue. and that it does not depend on the space direction. This is in contrast with the Freidlin-Gartner formula for the standard Laplacian. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：885 / 890

页数：6

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