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3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 492, 期号: 1, 页码: 48
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载:208/0  |  提交时间:2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds 期刊论文
POTENTIAL ANALYSIS, 2018, 卷号: 48, 期号: 2, 页码: 181-206
作者:  Fang, Shizan;  Luo, Dejun
收藏  |  浏览/下载:221/0  |  提交时间:2018/07/30
Navier-Stokes equations  Stochastic representation  de Rham-Hodge Laplacian  Stochastic flow  Pull-back vector field  
The Navier-Stokes-alpha equation via forward-backward stochastic differential systems 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 1, 页码: 1-28
作者:  Liu, Guoping
收藏  |  浏览/下载:176/0  |  提交时间:2018/07/30
Navier-Stokes-alpha equation  vorticity equation  forward-backward stochastic differential equations  Feynman-Kac formula  
A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Levy noises 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 卷号: 272, 期号: 1, 页码: 227-254
作者:  Dong, Zhao;  Xiong, Jie;  Zhai, Jianliang;  Zhang, Tusheng
收藏  |  浏览/下载:201/0  |  提交时间:2018/07/30
Moderate deviation principles  Stochastic Navier-Stokes equations  Poisson random measures  Tightness