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On pattern formation in the Gray-Scott model

文献种类: Journal Article
期刊名称: Science in China Series A: Mathematics
期刊缩写: SCI CHINA SER A
期卷页: &nbsp;2007 年 &nbsp; 第 50 卷 &nbsp; 第 3 期 &nbsp;377-386 页
ISBN: 1006-9283

yhhuang 添加于 2010-5-8 01:35 | 1455 次阅读 | 0 个评论

作者
Peng R, Wang M-xin
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.

Keywords Gray-Scott model - pattern formation - a priori estimates - existence

MSC(2000) 35J55 - 92C15 - 92C40

This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471022)

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