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  • 标题:Finite time blowup of the stochastic shadow Gierer-Meinhardt System
  • 本地全文:下载
  • 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.
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