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On the small time asymptotics of scalar stochastic conservation laws 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 25
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载：121/0  |  提交时间：2022/04/02
Small time asymptotic  large deviations  scalar stochastic conservation laws  
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：183/0  |  提交时间：2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations 期刊论文
POTENTIAL ANALYSIS, 2020, 卷号: 53, 期号: 1, 页码: 183-202
作者:  Dong, Zhao;  Zhang, Rangrang;  Zhang, Tusheng
收藏  |  浏览/下载：160/0  |  提交时间：2020/09/23
Freidlin-Wentzell's large deviations  Quailinear stochastic partial differential equations  Weak convergence approach  
A criterion on a repeller being a null set of any limit measure for stochastic differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa
收藏  |  浏览/下载：167/0  |  提交时间：2020/05/24
stationary measure  limit measure  support  Lyapunov function  repelling limit cycle  repelling quasi-periodic orbits  
LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING 期刊论文
ANNALS OF APPLIED PROBABILITY, 2020, 卷号: 30, 期号: 1, 页码: 324-367
作者:  Dong, Zhao;  Wu, Jiang-Lun;  Zhang, Rangrang;  Zhang, Tusheng
收藏  |  浏览/下载：158/0  |  提交时间：2020/05/24
Large deviations  first-order conservation laws  weak convergence approach  kinetic solution  
Ergodicity for a class of semilinear stochastic partial differential equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 页码: 20
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载：196/0  |  提交时间：2020/05/24
invariant measures  irreducibility  semilinear partial differential equations  space-time white noise  strong Feller property  
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：205/0  |  提交时间：2020/01/10
Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence  
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：182/0  |  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：397/0  |  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：188/0  |  提交时间：2018/11/16
Planetary geostrophic viscous model  global attractor  exponential mixing  finite Hausdorff dimension