RIGOROUS PASSAGE TO THE LIMIT IN A SYSTEM OF REACTION-DIFFUSION EQUATIONS TOWARDS A SYSTEM INCLUDING CROSS DIFFUSIONS

被引：11

作者：

Conforto, Fiammetta ^{[1
]}

Desvillettes, Laurent ^{[2
]}

机构：

[1] Dept Math & Comp Sci, I-98166 Messina, Italy

[2] ENS Cachan, CMLA, CNRS, F-94235 Cachan, France

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2014年 / 12卷 / 03期

关键词：

Cross diffusion; relaxation; SKT model; POPULATION-MODEL; ENTROPY METHODS; APPROXIMATION; EXISTENCE;

D O I：

10.4310/CMS.2014.v12.n3.a3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present in this work a rigorous passage to the limit (in Dimension 1) in a system of three reaction-diffusion equations coming out of population dynamics, towards a system of two reaction-diffusion equations, one of which includes a cross diffusion term.

引用

页码：457 / 472

页数：16

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