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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
Authors:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa
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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
Authors:  Dong, Zhao;  Wu, Jiang-Lun;  Zhang, Rangrang;  Zhang, Tusheng
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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
Authors:  Dong, Zhao;  Zhang, Rangrang
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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
Authors:  Dong, Zhao;  Song, Yu-lin;  Xie, Ying-chao
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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
Authors:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Niu, Lei;  Zhai, Jianliang
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Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence  
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 1, 页码: 129-157
Authors:  Bian, Dong-fen;  Fan, Li-li;  He, Lin;  Zhao, Hui-jiang
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compressible Navier-Stokes equations  inflow problem  viscous shock wave  large density oscillations  
kpz方程与kpz普适性简介献给王梓坤教授90华诞 期刊论文
中国科学数学, 2019, 卷号: 49, 期号: 3, 页码: 339
Authors:  董昭;  李利平
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frenchdegroot社会网络模型的结构辨识与参数估计 期刊论文
控制理论与应用, 2019, 页码: 1905-1911
Authors:  董艳萍;  任晓涛;  赵文虓
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INVERSE SOURCE PROBLEMS IN ELECTRODYNAMICS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2018, 卷号: 12, 期号: 6, 页码: 1411-1428
Authors:  Hu, Guanghui;  Li, Peijun;  Liu, Xiaodong;  Zhao, Yue
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Stability  uniqueness  inverse source problem  Maxwell's equations  
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
Authors:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
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Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence