Open Access
2015 Finite time blowup of the stochastic shadow Gierer-Meinhardt System
Fang Li, Lihu Xu
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Electron. Commun. Probab. 20: 1-13 (2015). DOI: 10.1214/ECP.v20-4298


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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Fang Li. Lihu Xu. "Finite time blowup of the stochastic shadow Gierer-Meinhardt System." Electron. Commun. Probab. 20 1 - 13, 2015.


Accepted: 23 September 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1329.60215
MathSciNet: MR3407209
Digital Object Identifier: 10.1214/ECP.v20-4298

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