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Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 335, 页码: 464-496
作者:  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
On the instability of the possible blow-up solutions to 2D Boussinesq system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 306, 页码: 547-568
作者:  Shao, Ruijie;  Zhang, Ping
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
2D Boussinesq system  WKB method  Instability  Semi-classical pseudo-differential operator  
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
作者:  Deng, Wen;  Wu, Jiahong;  Zhang, Ping
收藏  |  浏览/下载：101/0  |  提交时间：2022/04/02
Boussinesq equations  Enhanced dissipation  Stability of Couette flow  
Global small analytic solutions of MHD boundary layer equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 281, 页码: 199-257
作者:  Liu, Ning;  Zhang, Ping
收藏  |  浏览/下载：146/0  |  提交时间：2021/04/26
MHD Prandtl system  Littlewood-Paley theory  Analytic energy estimate  
Optimal design for kernel interpolation: Applications to uncertainty quantification 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 430, 页码: 19
作者:  Narayan, Akil;  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：142/0  |  提交时间：2021/04/26
Kernel interpolation  Fekete points  Cholesky decomposition with pivoting  Hermite interpolation  Uncertainty quantification  
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 473-508
作者:  Liang, Siyu;  Zhang, Ping;  Zhu, Rongchan
收藏  |  浏览/下载：122/0  |  提交时间：2021/04/26
Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 10, 页码: 33
作者:  Liu, Yanlin;  Zhang, Ping
收藏  |  浏览/下载：180/0  |  提交时间：2020/11/18
Navier-Stokes system  Anisotropic Littlewood-Paley theory  Well-posedness  
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：188/0  |  提交时间：2020/09/23
Incompressible Navier-Stokes equations  Hydrostatic approximation  Radius of analyticity  
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：177/0  |  提交时间：2020/06/30
Time-fractional Allen-Cahn equation  Alikhanov formula  Adaptive time-stepping strategy  Discrete maximum principle  Sharp error estimate  
Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 10, 页码: 5855-5891
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载：139/0  |  提交时间：2020/05/24