Travelling Waves in Partially Degenerate Reaction-Diffusion Systems

被引：7

作者：

Kazmierczak, B. ^{[1
]}

Volpert, V. ^{[2
]}

机构：

[1] PAS, Inst Fundamental Technol Res, Warsaw, Poland

[2] Univ Lyon 1, CNRS, Dept Math, UMR 5208, F-69622 Villeurbanne, France

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2007年 / 2卷 / 02期

关键词：

travelling waves; reaction-diffusion systems; calcium dynamics;

D O I：

10.1051/mmnp:2008021

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the existence and some properties of travelling waves in partially degenerate reaction-diffusion systems. Such systems may for example describe intracellular calcium dynamics in the presence of immobile buffers. In order to prove the wave existence, we first consider the non degenerate case and then pass to the limit as some of the diffusion coefficient converge to zero. The passage to the limit is based on a priori estimates of solutions independent of the values of the diffusion coefficients. The wave uniqueness is also proved.

引用

页码：106 / 125

页数：20

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