Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport

被引：3

作者：

Hilhorst, D ^{[1
]}

Peletier, MA

机构：

[1] CNRS, EDP, F-91405 Orsay, France

[2] Univ Paris Sud, F-91405 Orsay, France

[3] Univ Bath, Dept Math, Bath BA2 7AY, Avon, England

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年 / 163卷 / 01期

关键词：

travelling waves; asymptotic behaviour; degenerate diffusion; parabolic partial differential equations;

D O I：

10.1006/jdeq.1999.3736

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear system of parabolic equations describing the transport contaminant in porous media. For this system travelling wave solutions are known to exist. We prove existence and uniqueness of general solutions of the system and emergence to travelling waves. (C) 2000 Academic Press.

引用

页码：89 / 112

页数：24

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