The dynamics of the stochastic shadow Gierer-Meinhardt system

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• 作者：Matthias Winter^a ; ^{Matthias.Winter@brunel.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Lihu Xu^b ; ^{lihuxu@umac.mo" class="auth_mail" title="E-mail the corresponding author} ; Jianliang Zhai^c ; ^{zhaijl@ustc.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Tusheng Zhang^d ; ^{tusheng.zhang@manchester.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：60H05 ; 60H15 ; 60H30
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：5 January 2016
• 年：2016
• 卷：260
• 期：1
• 页码：84-114
• 全文大小：396 K

文摘

We consider the dynamics of the stochastic shadow Gierer–Meinhardt system with one-dimensional standard Brownian motion. We establish the global existence and uniqueness of solutions. We also prove a large deviation result.