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Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
作者:  Rockner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载：136/0  |  提交时间：2021/04/26
Averaging principle  McKean-Vlasov stochastic differential equations  Slow-fast  Poisson equation  Strong convergence order  
STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2866-2899
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
stochastic Cahn-Hilliard equation  spectral Galerkin method  accelarated implicit Euler method  strong convergence rate  
Striated Regularity of 2-D Inhomogeneous Incompressible Navier-Stokes System with Variable Viscosity 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 卷号: 376, 期号: 1, 页码: 385-439
作者:  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载：131/0  |  提交时间：2020/06/30
On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
作者:  Huang, Xiangdi
收藏  |  浏览/下载：130/0  |  提交时间：2020/05/24
compressible Navier-Stokes equations  vacuum  strong solutions  classical solutions  
On the radius of analyticity of solutions to semi-linear parabolic systems 期刊论文
MATHEMATICAL RESEARCH LETTERS, 2020, 卷号: 27, 期号: 6, 页码: 1631-1643
作者:  Chemin, Jean-Yves;  Gallagher, Isabelle;  Zhang, Ping
收藏  |  浏览/下载：121/0  |  提交时间：2021/04/26
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus  
On center singularity for compressible spherically symmetric nematic liquid crystal flows 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 264, 期号: 8, 页码: 5197-5220
作者:  Wang, Yun;  Huang, Xiangdi
收藏  |  浏览/下载：164/0  |  提交时间：2018/07/30
Compressible nematic liquid crystal flows  Blowup criterion  Spherically symmetric flows  
Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 卷号: 28, 期号: 2, 页码: 259-336
作者:  Mei, Yu;  Wang, Yong;  Xin, Zhouping
收藏  |  浏览/下载：235/0  |  提交时间：2018/07/30
Vanishing viscosity  surface tension  free surface compressible Navier-Stokes