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GLOBAL WELL-POSEDNESS OF THE 3D NAVIER-STOKES EQUATIONS PERTURBED BY A DETERMINISTIC VECTOR FIELD 期刊论文
ANNALS OF APPLIED PROBABILITY, 2022, 卷号: 32, 期号: 4, 页码: 2568-2586
作者:  Flandoli, Franco;  Hofmanova, Martina;  Luo, Dejun;  Nilssen, Torstein
收藏  |  浏览/下载：92/0  |  提交时间：2023/02/07
3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in L-2(Gamma) 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 36
作者:  Zhou, Kaiye;  Gong, Wei
收藏  |  浏览/下载：102/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes equations  Polygonal/polyhedral domain  Smooth domain  Finite elements  Error estimates  
Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 38
作者:  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载：96/0  |  提交时间：2022/06/21
incompressible hyperbolic Navier-Stokes equations  hydrostatic approximation  hyperbolic Prandtl system  
Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 2, 页码: 21
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：170/0  |  提交时间：2021/01/14
Point vortices  Navier-Stokes equations  Space-time white noise  Vorticity formulation  Weak convergence  
Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
作者:  Liu, Xuefeng;  Nakao, Mitsuhiro T.;  You, Chun'guang;  Oishi, Shin'ichi
收藏  |  浏览/下载：128/0  |  提交时间：2021/04/26
Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
On the hydrostatic approximation of the Navier-Stokes equations in a thin strip 期刊论文
ADVANCES IN MATHEMATICS, 2020, 卷号: 372, 页码: 42
作者:  Paicu, Marius;  Zhang, Ping;  Zhang, Zhifei
收藏  |  浏览/下载：187/0  |  提交时间：2020/09/23
Incompressible Navier-Stokes equations  Hydrostatic approximation  Radius of analyticity  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载：497/125  |  提交时间：2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：841/153  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
A dynamic-solver-consistent minimum action method: With an application to 2D Navier-Stokes equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 331, 页码: 209-226
作者:  Wan, Xiaoliang;  Yu, Haijun
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Minimum action method  Rare events  White noise  Colored noise  Finite element method  Numerical adaptivity