Asymmetric spotty patterns for the Gray-Scott model in R-2
Publication in refereed journal

香港中文大學研究人員

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替代計量分析
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其它資訊
摘要In this paper, we rigorously prove the existence and stability of asymmetric spotty patterns for the Gray-Scott model in a bounded two-dimensional domain. We show that given any two positive integers k(1), k(2), there are asymmetric solutions with k(1) large spots type A) and k2 small spots (type B). We also give conditions for their location and calculate their heights. Most of these asymmetric solutions are shown to be unstable. However, in a narrow range of parameters, asymmetric solutions may be stable.
著者Wei JC, Winter M
期刊名稱Studies in Applied Mathematics
出版年份2003
月份1
日期1
卷號110
期次1
出版社BLACKWELL PUBLISHERS
頁次63 - 102
國際標準期刊號0022-2526
語言英式英語
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2020-20-10 於 02:52