Electronic Communications in Probability

Finite time blowup of the stochastic shadow Gierer-Meinhardt System

Fang Li and Lihu Xu

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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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Electron. Commun. Probab., Volume 20 (2015), paper no. 65, 13 pp.

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

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Li, Fang; Xu, Lihu. Finite time blowup of the stochastic shadow Gierer-Meinhardt System. Electron. Commun. Probab. 20 (2015), paper no. 65, 13 pp. doi:10.1214/ECP.v20-4298. https://projecteuclid.org/euclid.ecp/1465320992

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