Finite time blowup of the stochastic shadow Gierer-Meinhardt System

Fang Li; Lihu Xu

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arXiv · 1411.7135

Finite time blowup of the stochastic shadow Gierer-Meinhardt System

Fang Li·Lihu Xu

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Abstract

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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BibTeX RIS

Fang Li, Lihu Xu. 2014-11-26. Finite time blowup of the stochastic shadow Gierer-Meinhardt System. https://arxiv.org/abs/1411.7135

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