New results for triangular reaction cross diffusion system

被引：30

作者：

Desvillettes, L. ^{[1
]}

Trescases, A. ^{[1
]}

机构：

[1] ENS Cachan, CMLA, CNRS, F-94230 Cachan, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 430卷 / 01期

关键词：

Reaction-diffusion; Cross diffusion; Entropy methods; Duality methods; KAWASAKI-TERAMOTO MODEL; GLOBAL EXISTENCE; PARABOLIC-SYSTEMS; DUALITY; ENTROPY;

D O I：

10.1016/j.jmaa.2015.03.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an approach based on entropy and duality methods for "triangular" reaction cross diffusion systems of two equations, in which cross diffusion terms appear only in one of the equations. Thanks to this approach, we recover and extend many existing results on the classical "triangular" Shigesada-Kawasaki-Teramoto model. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：32 / 59

页数：28

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