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Finite time blowup of the stochastic shadow gierer-meinhardt system
Li,Fang1; Xu,Lihu2
2015-10-06
Source PublicationElectronic Communications in Probability
ISSN1083589X
Volume20
Abstract

By choosing some special (random) initial data, we prove that with probability 1, stochastic shadow Gierer-Meinhardt system blows up in finite time in the pointwise sense. We also give a (random) upper bound for the blowup time and some estimates about this bound. By increasing the amplitude of initial data, we can get a blowup in any short time with a positive probability.

KeywordBrownian Motions Finite Time Blowup Itô Formula Stochastic Shadow Gierer-meinhardt System
DOIhttp://doi.org/10.1214/ECP.v20-4298
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000361648500001
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorXu,Lihu
Affiliation1.Center for Partial Differential Equations, East China Normal University,Shanghai,200241,China
2.University of Macau,Taipa,Macao
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Li,Fang,Xu,Lihu. Finite time blowup of the stochastic shadow gierer-meinhardt system[J]. Electronic Communications in Probability,2015,20.
APA Li,Fang,&Xu,Lihu.(2015).Finite time blowup of the stochastic shadow gierer-meinhardt system.Electronic Communications in Probability,20.
MLA Li,Fang,et al."Finite time blowup of the stochastic shadow gierer-meinhardt system".Electronic Communications in Probability 20(2015).
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