A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises

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• 作者：Zhao Dong^a ; ^{dzhao@amt.ac.cn" class="auth_mail" title="E-mail the corresponding author} ; Jie Xiong^b ; ^{jiexiong@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：primary ; 60H15 ; secondary ; 35R60 ; 37L55
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：272
• 期：1
• 页码：227-254
• 全文大小：426 K

文摘

In this paper, we establish a moderate deviation principle for two-dimensional stochastic Navier–Stokes equations driven by multiplicative Lévy noises. The weak convergence method introduced by Budhiraja, Dupuis and Ganguly in [3] plays a key role.