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Global Controllability of the Navier-Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 卷号: 24, 期号: 3, 页码: 32
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载：110/0  |  提交时间：2023/02/07
Axi-symmetric Navier-Stokes equations  Controllability  No-slip Dirichlet boundary condition  Boundary layers  Return method  Multi-scales asymptotic expansion  Well-prepared dissipation method  Long-time nonlinear Cauchy-Kovalevskaya estimates  
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：132/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes equations  Polygonal/polyhedral domain  Smooth domain  Finite elements  Error estimates  
A Bernstein-type theorem for minimal graphs over convex domains 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2022, 卷号: 39, 期号: 3, 页码: 749-760
作者:  Edelen, Nick;  Wang, Zhehui
收藏  |  浏览/下载：82/0  |  提交时间：2023/02/07
Minimal graphs  Bernstein theorem  convex domain  Dirichlet boundary  
Eddy heat exchange at the boundary under white noise turbulence 期刊论文
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 380, 期号: 2219, 页码: 13
作者:  Flandoli;  Galeati, L;  Luo, DJ
收藏  |  浏览/下载：296/0  |  提交时间：2023/03/14
turbulence  eddy diffusion  vortex patch  covariance matrix  Dirichlet boundary condition  first eigenvalue  
ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
作者:  Gong, Wei;  Mateos, Mariano;  Singler, John;  Zhang, Yangwen
收藏  |  浏览/下载：150/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes flows  energy space  regularity  finite element method  error estimates  
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：170/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation  
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020, 卷号: 54, 期号: 6, 页码: 2229-2264
作者:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John R.;  Zhang, Yangwen
收藏  |  浏览/下载：178/0  |  提交时间：2021/01/14
Tangential Dirichlet boundary control  Stokes equations  hybridizable discontinuous Galerkin method  
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 4, 页码: 2898-2939
作者:  Gong, Wei;  Li, Buyang
收藏  |  浏览/下载：175/0  |  提交时间：2021/04/26
Dirichlet boundary control  parabolic equation  finite element method  maximal L-p-regularity  
MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 221-240
作者:  Cheng, Xiyou;  Feng, Zhaosheng;  Zhang, Zhitao
收藏  |  浏览/下载：208/0  |  提交时间：2020/01/10
Positive solution  Hammerstein integral equations  weighted functions  fixed point index  Dirichlet boundary condition  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载：243/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence