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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：147/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5074-5114
作者:  Fanelli, Francesco;  Liao, Xian
收藏  |  浏览/下载：143/0  |  提交时间：2018/07/30
Zero-Mach number system  Endpoint Besov spaces  Well-posedness  Lifespan  Parabolic equations  Transport equations  
Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients 期刊论文
CHINESE PHYSICS B, 2015, 卷号: 24, 期号: 9, 页码: 14
作者:  Dong Hao;  Nie Yu-Feng;  Cui Jun-Zhi;  Wu Ya-Tao
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30
hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme  
Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 卷号: 74, 期号: 15, 页码: 5141-5146
作者:  Zhu, Xiaobao
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Gradient estimates  Nonlinear parabolic equations  Liouville theorems  
On the well-posedness for Keller-Segel system with fractional diffusion 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 卷号: 34, 期号: 14, 页码: 1739-1750
作者:  Wu, Gang;  Zheng, Xiaoxin
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
nonlinear parabolic equations  nonlinear evolution equations  fractional diffusion  Keller-Segel model  Well-posedness  Ill-posedness  
Recent progress on controllability/observability for systems governed by partial differential equations 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 卷号: 23, 期号: 3, 页码: 527-545
作者:  Li, Hongheng;  Lue, Qi;  Zhang, Xu
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Controllability  hyperbolic equations  observability  parabolic equations  
NULL CONTROLLABILITY FOR FORWARD AND BACKWARD STOCHASTIC PARABOLIC EQUATIONS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 卷号: 48, 期号: 4, 页码: 2191-2216
作者:  Tang, Shanjian;  Zhang, Xu
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
null controllability  forward and backward linear stochastic parabolic equations  observability  global Carleman estimate  
A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 68-88
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Boundary control problems  Finite element method  A posteriori error estimate  Parabolic partial differential equations  
Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains 期刊论文
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2004, 卷号: 20, 期号: 5, 页码: 363-378
作者:  Du, QK;  Yu, DH
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
time-dependent problem  parabolic partial differential equations  natural boundary reduction  domain decomposition  two-dimensional exterior problem  Schwarz alternating method  
Identifications of parameters in ill-posed linear parabolic equations 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 卷号: 57, 期号: 5-6, 页码: 677-686
作者:  Jia, CH;  Wang, GS
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
Carleman inequality  identifications of parameters  linear parabolic equations