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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  
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：106/0  |  提交时间：2018/07/30
hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme  
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 卷号: 23, 期号: 4, 页码: 339-353
作者:  Feng, Pengbin;  Karimov, Erkinjon T.
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
Inverse source problem  Caputo fractional derivative  mixed-type equation  orthonormal system of eigenfunctions  
secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients 期刊论文
chinesephysicsb, 2015, 卷号: 24, 期号: 9
作者:  Dong Hao;  Nie Yufeng;  Cui Junzhi;  Wu Yatao
收藏  |  浏览/下载：111/0  |  提交时间：2020/01/10
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：94/0  |  提交时间：2018/07/30
Controllability  hyperbolic equations  observability  parabolic equations  
Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 215, 期号: 9, 页码: 3201-3213
作者:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Incompressible Navier-Stokes equation  Artificial compressibility method  Upwind compact finite difference  Flux-difference splitting  Dual-time stepping  Kovasznay flow problem  Oscillating plate  Taylor's decaying vortices  Doubly periodic shear layer  
RECENT PROGRESS ON C ONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
系统科学与复杂性：英文版, 2010, 卷号: 000, 期号: 003, 页码: 527-545
作者:  Li Hongheng;  Lu Qi;  Zhang Xu
收藏  |  浏览/下载：106/0  |  提交时间：2021/01/14
非线性偏微分方程  线性系统  Carleman  拟线性抛物型方程  精确可控性  双曲方程  线性化方法  波动方程  
Controllability and observability of a heat equation with hyperbolic memory kernel 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 247, 期号: 8, 页码: 2395-2439
作者:  Fu, Xiaoyu;  Yong, Jiongmin;  Zhang, Xu
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Heat equation with memory  Controllability  Observability estimate  Carleman estimate  Highly concentrated approximate solution  
A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 5, 期号: 2-4, 页码: 712-729
作者:  Shah, Abdullah;  Guo, Hong;  Yuan, Li
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Upwind compact difference  flux difference splitting  incompressible Navier-Stokes equations  artificial compressibility  lid-driven cavity flow  
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 卷号: 25, 期号: 1, 页码: 1-41
作者:  Duyckaerts, Thomas;  Zhang, Xu;  Zuazua, Enrique
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
optimality  Meshkov's construction  observability inequality  heat equation  wave equation  potential  Carlenman inequality  decay at infinity