Traveling waves in a one-dimensional heterogeneous medium

被引：64

作者：

Nolen, James ^{[1
]}

Ryzhik, Lenya ^{[2
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 03期

关键词：

REACTION-DIFFUSION; PARABOLIC EQUATIONS; FRONTS; HOMOGENIZATION; EXISTENCE; SPEEDS;

D O I：

10.1016/j.anihpc.2009.02.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deterministic rate in the long time limit. We also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：1021 / 1047

页数：27

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