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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：59/0  |  提交时间：2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
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：76/0  |  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  
REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 卷号: 150, 期号: 3, 页码: 1223-1234
作者:  Deng, Wen;  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载：117/0  |  提交时间：2022/04/29
Radius of analyticity  Navier-Stokes equations  
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
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载：121/0  |  提交时间：2022/04/02
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：122/0  |  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：99/0  |  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：144/0  |  提交时间：2021/04/26
MHD Prandtl system  Littlewood-Paley theory  Analytic energy estimate  
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：148/0  |  提交时间：2021/06/01
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：121/0  |  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：178/0  |  提交时间：2020/11/18
Navier-Stokes system  Anisotropic Littlewood-Paley theory  Well-posedness