REGULARITY CRITERIA FOR THE GENERALIZED MAGNETOHYDRODYNAMIC EQUATIONS AND THE QUASI-GEOSTROPHIC EQUATIONS

被引：21

作者：

Fan, Jishan ^{[1
,2
]}

Gao, Hongjun ^{[1
,3
]}

Nakamura, Gen ^{[4
]}

机构：

[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210046, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

[3] Nanjing Univ, Ctr Nonlinear Sci, Nanjing 210093, Peoples R China

[4] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 03期

关键词：

Generalized MHD equations; Regularity criteria; Multiplier spaces; Quasi-geostrophic equations; GLOBAL WELL-POSEDNESS; NAVIER-STOKES;

D O I：

10.11650/twjm/1500406284

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the Cauchy problem for the 3D generalized magnetohydrodynamic (MHD) equations and the quasi-geostrophic (QG) equations. We prove some new regularity criteria for weak solutions.

引用

页码：1059 / 1073

页数：15

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