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On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
作者:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:120/0  |  提交时间:2022/04/02
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:181/0  |  提交时间:2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
On the Law of Large Numbers for the Empirical Measure Process of Generalized Dyson Brownian Motion 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2020, 页码: 29
作者:  Li, Songzi;  Li, Xiang-Dong;  Xie, Yong-Xiao
收藏  |  浏览/下载:151/0  |  提交时间:2021/01/14
Generalized Dyson Brownian motion  McKean-Vlasov equation  Gradient flow  Optimal transportation  Voiculescu free entropy  Law of Large Numbers  Propagation of chaos  
On the small-time asymptotics of 3D stochastic primitive equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 卷号: 41, 期号: 16, 页码: 6336-6357
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载:181/0  |  提交时间:2019/01/11
large deviations  primitive equation  small-time asymptotics  
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:387/0  |  提交时间:2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2018, 卷号: 20, 期号: 3, 页码: 1155-1172
作者:  Han, Pigong
收藏  |  浏览/下载:164/0  |  提交时间:2018/09/08
Stokes flow  Solution formula  Weighted estimate  Strong solution  
Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 卷号: 28, 期号: 2, 页码: 259-336
作者:  Mei, Yu;  Wang, Yong;  Xin, Zhouping
收藏  |  浏览/下载:235/0  |  提交时间:2018/07/30
Vanishing viscosity  surface tension  free surface compressible Navier-Stokes  
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:180/0  |  提交时间:2018/07/30
tochastic Navier-Stokes equation  asymptotically strong Feller property  ergodicity  
Markov selection and W-strong Feller for 3D stochastic primitive equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2017, 卷号: 60, 期号: 10, 页码: 1873-1900
作者:  Dong, Zhao;  Zhang, RangRang
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
primitive equations  Markov selection  W-strong Feller  
ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 卷号: 49, 期号: 5, 页码: 3496-3526
作者:  Huang, Feimin;  Tan, Wenke
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
ghost effect system  strong solution  ghost effect