Finite time blowup of the stochastic shadow Gierer-Meinhardt System
Probability
2014-11-27 v1
Abstract
By choosing some special (random) initial data, we prove that with probability , 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.
Keywords
Cite
@article{arxiv.1411.7135,
title = {Finite time blowup of the stochastic shadow Gierer-Meinhardt System},
author = {Fang Li and Lihu Xu},
journal= {arXiv preprint arXiv:1411.7135},
year = {2014}
}