Existence of Travelling Waves for a Reaction-Diffusion System with a Line of Fast Diffusion

被引：12

作者：

Dietrich, Laurent ^{[1
,2
]}

机构：

[1] Inst Math Toulouse UPS IMT, F-31062 Toulouse 9, France

[2] Univ Toulouse CNRS, F-31062 Toulouse 9, France

来源：

APPLIED MATHEMATICS RESEARCH EXPRESS | 2015年 / 02期

基金：

欧洲研究理事会;

关键词：

D O I：

10.1093/amrx/abv002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove existence and uniqueness of travelling waves for a reaction-diffusion system coupling a classical reaction-diffusion equation in a strip with a diffusion equation on a line. To do this, we use a sequence of continuations which leads to further insight into the system. In particular, the transition occurs through a singular perturbation which seems new in this context, connecting the system with a Wentzell type boundary value problem.

引用

页码：204 / 252

页数：49

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