On pattern formation in the Gray-Scott model

被引：11
|
作者：
Peng, Rui [1 ]
Wang, Ming-xin
机构：
[1] China Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443002, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Gray-Scott model; pattern formation; a priori estimates; existence;
D O I：
10.1007/s11425-007-0001-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we investigate an elliptic system well-known as the Gray-Scott model and present some further results for positive solutions of this model. More precisely, we give the refined a priori estimates of positive solutions, and improve some previous results for the non-existence and existence of positive non-constant solutions as the parameters are varied, which imply some certain conditions where the pattern formation occurs or not.
引用
收藏
页码：377 / 386
页数：10
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