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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:195/0  |  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:203/0  |  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:387/0  |  提交时间:2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
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:178/0  |  提交时间:2018/07/30
tochastic Navier-Stokes equation  asymptotically strong Feller property  ergodicity  
Ergodicity of linear SPDE driven by L,vy noise 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 卷号: 23, 期号: 1, 页码: 137-152
作者:  Dong, Zhao;  Xie, Yingchao
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Ergodicity  invariant measure  Levy noise  linear SPDE  
On kernel estimations and invariant measures of stochastic jump-diffusions 期刊论文
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 卷号: 10, 期号: 1-3, 页码: 373-387
作者:  Li, CW;  Dong, Z
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
jump-diffusion  heat-kernel bound  Lyapunov function  invariant measure  ergodicity