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Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 125, 页码: 43-93
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Niu, Lei;  Zhai, Jianliang
收藏  |  浏览/下载：243/0  |  提交时间：2020/01/10
Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence  
Averaging principle for one dimensional stochastic Burgers equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 10, 页码: 4749-4797
作者:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
收藏  |  浏览/下载：453/0  |  提交时间：2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
Long-time behavior of 3D stochastic planetary geostrophic viscous model 期刊论文
STOCHASTICS AND DYNAMICS, 2018, 卷号: 18, 期号: 5, 页码: 48
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载：219/0  |  提交时间：2018/11/16
Planetary geostrophic viscous model  global attractor  exponential mixing  finite Hausdorff dimension  
Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 1, 页码: 97-118
作者:  Dong, Zhao;  Peng, Xu-hui
收藏  |  浏览/下载：215/0  |  提交时间：2018/07/30
tochastic Navier-Stokes equation  asymptotically strong Feller property  ergodicity  
Large deviation principles for 3D stochastic primitive equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 5, 页码: 3110-3146
作者:  Dong, Zhao;  Zhai, Jianliang;  Zhang, Rangrang
收藏  |  浏览/下载：186/0  |  提交时间：2018/07/30
Primitive equation  Large deviations  Weak convergence method  
Integral representations for binomial sums of chances of winning 期刊论文
ARS MATHEMATICA CONTEMPORANEA, 2017, 卷号: 12, 期号: 2, 页码: 329-336
作者:  Dong, Zhao;  Li, Wenbo V.;  Song, Chunwei
收藏  |  浏览/下载：240/0  |  提交时间：2018/07/30
Binomial sum  integral representation  probabilistic analysis  unbalanced coin  
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：202/0  |  提交时间：2018/07/30
Moderate deviation principles  Stochastic Navier-Stokes equations  Poisson random measures  Tightness  
Strong Feller properties for degenerate SDEs with jumps 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2016, 卷号: 52, 期号: 2, 页码: 888-897
作者:  Dong, Zhao;  Peng, Xuhui;  Song, Yulin;  Zhang, Xicheng
收藏  |  浏览/下载：190/0  |  提交时间：2018/07/30
Strong Feller property  SDE  Malliavin's calculus  Cylindrical alpha-stable process  Hormander's condition