Logarithmically Improved Regularity Criteria for the Navier-Stokes and MHD Equations

被引:103
|
作者
Fan, Jishan [1 ,2 ]
Jiang, Song [3 ]
Nakamura, Gen [2 ]
Zhou, Yong [4 ]
机构
[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China
[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
[3] Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China
[4] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
关键词
Navier-Stokes equations; MHD equations; regularity criteria; TERMS;
D O I
10.1007/s00021-010-0039-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, logarithmically improved regularity criteria for the Navier-Stokes and the MHD equations are established in terms of both the vorticity field and the pressure.
引用
收藏
页码:557 / 571
页数:15
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