Global existence for semilinear reaction-diffusion systems on evolving domains

被引：21

作者：

Venkataraman, Chandrasekhar ^{[1
]}

Lakkis, Omar ^{[1
]}

Madzvamuse, Anotida ^{[1
]}

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2012年 / 64卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

Reaction-diffusion systems; Global existence; Evolving domains; Biological pattern formation; GROWING DOMAINS; PATTERNS;

D O I：

10.1007/s00285-011-0404-x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present global existence results for solutions of reaction-diffusion systems on evolving domains. Global existence results for a class of reaction-diffusion systems on fixed domains are extended to the same systems posed on spatially linear isotropically evolving domains. The results hold without any assumptions on the sign of the growth rate. The analysis is valid for many systems that commonly arise in the theory of pattern formation. We present numerical results illustrating our theoretical findings.

引用

页码：41 / 67

页数：27

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