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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：90/0  |  提交时间：2023/02/07
p-Laplace operator  Transport noise  Dissipation enhancement  Semigroup approach  
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：118/0  |  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：182/0  |  提交时间：2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
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：162/0  |  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：158/0  |  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：165/0  |  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：156/0  |  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：195/0  |  提交时间：2020/05/24
invariant measures  irreducibility  semilinear partial differential equations  space-time white noise  strong Feller property  
Derivative Formula and Coupling Property for Linear SDEs Driven by Levy Processes 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 4, 页码: 708-721
作者:  Dong, Zhao;  Song, Yu-lin;  Xie, Ying-chao
收藏  |  浏览/下载：163/0  |  提交时间：2020/05/24
Levy processes  integration by parts formula  derivative formula  coupling 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：204/0  |  提交时间：2020/01/10
Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence