文章基本信息

标题：Finite time blowup of the stochastic shadow Gierer-Meinhardt System
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作者：Li, Fang ; Xu, Lihu
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2015
卷号：20
期号：0
页码：1-13
DOI：10.1214/ECP.v20-4298
语种：English
出版社：Electronic Communications in Probability
摘要：By choosing some special (random) initial data, we prove that with probability $1$, the stochastic shadow Gierer-Meinhardt system blows up pointwisely in finite time.We also give a (random) upper bound for the blowup time and some estimates about this bound. By increasing the amplitude of the initial data, we can get the blowup in any short time with positive probability.