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On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 5, 页码: 749-772
作者:  Hu, Ruilin;  Zhang, Ping
收藏  |  浏览/下载:50/0  |  提交时间:2023/02/07
Incompressible Navier-Stokes equations  Radius of analyticity  Littlewood-Paley theory  
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
作者:  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载:95/0  |  提交时间:2022/06/21
incompressible hyperbolic Navier-Stokes equations  hydrostatic approximation  hyperbolic Prandtl system  
Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
作者:  Wang, Yunchu;  Yuan, Li
收藏  |  浏览/下载:104/0  |  提交时间:2022/04/02
Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
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:186/0  |  提交时间:2020/09/23
Incompressible Navier-Stokes equations  Hydrostatic approximation  Radius of analyticity  
Some remarks about the possible blow-up for the Navier-Stokes equations 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 页码: 19
作者:  Chemin, Jean-Yves;  Gallagher, Isabelle;  Zhang, Ping
收藏  |  浏览/下载:162/0  |  提交时间:2020/01/10
Anisotropic Littlewood-Paley Theory  blow-up criteria  incompressible Navier-Stokes equations  
On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 46, 页码: 58-81
作者:  Lu, Boqiang;  Song, Sisi
收藏  |  浏览/下载:157/0  |  提交时间:2019/03/05
Incompressible Navier-Stokes equations  Density-dependent viscosity  Vacuum  Strong solutions  
INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA 期刊论文
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2018, 卷号: 17, 期号: 5, 页码: 1121-1172
作者:  Chemin, Jean-Yves;  Zhang, Ping
收藏  |  浏览/下载:158/0  |  提交时间:2018/11/16
inhomogeneous incompressible Navier-Stokes equations  slow variable  decay estimate  anisotropic Littlewood-Paley theory  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility 期刊论文
COMPUTERS & FLUIDS, 2011, 卷号: 42, 期号: 1, 页码: 54-61
作者:  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
Two-phase flow  Phase field model  Incompressible Navier-Stokes equations  Artificial compressibility  WENO scheme  
Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 卷号: 88, 期号: 17, 页码: 3762-3779
作者:  Ran, Yu-Hong;  Yuan, Li
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
incompressible Navier-Stokes equations  modified ADI iteration method  diagonally dominant  optimal parameter  convergence