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Dissipation enhancement by transport noise for stochastic p-Laplace equations 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 1, 页码: 24
作者:  Dong, Zhao;  Luo, Dejun;  Tang, Bin
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
p-Laplace operator  Transport noise  Dissipation enhancement  Semigroup approach  
On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 8, 页码: 1463-1504
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Zhai, Jianliang
收藏  |  浏览/下载：164/0  |  提交时间：2020/09/23
stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
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  
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  
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  
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：161/0  |  提交时间：2018/07/30
Primitive equation  Large deviations  Weak convergence method  
Martingale solutions and Markov selection of stochastic 3D Navier-Stokes equations with jump 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 250, 期号: 6, 页码: 2737-2778
作者:  Dong, Zhao;  Zhai, Jianliang
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
3D Navier-Stokes equation  Martingale solutions  Markov selection  Levy processes  
Invariant measures for stochastic evolution equations of pure jump type 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 卷号: 119, 期号: 2, 页码: 410-427
作者:  Dong, Zhao;  Xu, Tiange;  Zhang, Tusheng
收藏  |  浏览/下载：157/0  |  提交时间：2018/07/30
Stochastic evolution equations  Stochastic partial differential equations  Poisson counting measures  Semigroups  Invariant measures  
Almost sure stability of linear stochastic differential equations with jumps 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2002, 卷号: 123, 期号: 1, 页码: 121-155
作者:  Li, CW;  Dong, Z;  Situ, R
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
jump-diffusion  invariant measure  Lyapunov exponent  Fredholm alternative  exponential martingale  large deviations