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Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
作者:  Liang, Dongdong;  Gong, Wei;  Xie, Xiaoping
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
Parabolic optimal control problem  pointwise observation  space-time finite element method  parabolic PDE with Dirac measure  error estimate  
Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 5, 页码: 2421-2443
作者:  Wei, Changkun;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/02
Well-posedness  stability  time-domain electromagnetic scattering  uniaxial PML  exponential convergence  
Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 542-601
作者:  Hao, Chengchun;  Luo, Tao
收藏  |  浏览/下载：153/0  |  提交时间：2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
作者:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 6, 页码: 1231-1244
作者:  Li, Kexin;  Lu, Boqiang;  Wang, Yixuan
收藏  |  浏览/下载：119/0  |  提交时间：2021/10/26
1D compressible Navier-Stokes equations  global well-posedness  large initial data  vacuum  density-depending viscosity  
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 28
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：126/0  |  提交时间：2021/10/26
Girsanov transform  Kolmogorov equation  Iteration scheme  Series expansion  Well posedness  
Well-posedness of distribution dependent SDEs with singular drifts 期刊论文
BERNOULLI, 2021, 卷号: 27, 期号: 2, 页码: 1131-1158
作者:  Roeckner, Michael;  Zhang, Xicheng
收藏  |  浏览/下载：138/0  |  提交时间：2021/06/01
Distribution dependent SDEs  Zvonkin's transformation  singular drifts  superposition principle  McKean-Vlasov system  
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 页码: 44
作者:  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载：149/0  |  提交时间：2021/06/01
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 30
作者:  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载：150/0  |  提交时间：2021/04/26
35J25  65N30  74F10  
High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2021, 页码: 55
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：158/0  |  提交时间：2021/04/26
3D Navier–  Stokes equations  Well posedness  Regularization by noise  Transport noise  Vorticity blow-up control