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

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2011年 / 13卷 / 04期

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

页码：557 / 571

页数：15

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