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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
Favorite  |  View/Download：4/0  |  Submit date：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 10, 页码: 21
Authors:  Zhang, Rui;  Hu, Peiyan;  Meng, Qi;  Wang, Yue;  Zhu, Rongchan;  Chen, Bingguang;  Ma, Zhi-Ming;  Liu, Tie-Yan
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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
Authors:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
Favorite  |  View/Download：9/0  |  Submit date：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  
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
Authors:  Paicu, Marius;  Zhang, Ping
Favorite  |  View/Download：42/0  |  Submit date：2022/06/21
incompressible hyperbolic Navier-Stokes equations  hydrostatic approximation  hyperbolic Prandtl system  
RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2022, 页码: 21
Authors:  Zhu, Tielei;  Yang, Jiaqing;  Zhang, Bo
Favorite  |  View/Download：65/0  |  Submit date：2022/04/29
Interaction  Maxwell's equations  Navier equation  well-posedness  inverse scattering  uniqueness  
Smooth Controllability of the Navier-Stokes Equation with Navier Conditions: Application to Lagrangian Controllability 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 869-941
Authors:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
Favorite  |  View/Download：64/0  |  Submit date：2022/04/02
Wave Phenomena to the Three-Dimensional Fluid-Particle Model 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 1019-1089
Authors:  Li, Hai-Liang;  Wang, Teng;  Wang, Yi
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Stability of Couette flow for 2D Boussinesq system with vertical dissipation 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 12, 页码: 40
Authors:  Deng, Wen;  Wu, Jiahong;  Zhang, Ping
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Boussinesq equations  Enhanced dissipation  Stability of Couette flow  
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
Authors:  Zhang, Shuo
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biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
Authors:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
Favorite  |  View/Download：99/0  |  Submit date：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem