REGULARITY CRITERIA FOR THE 2D MHD SYSTEM WITH HORIZONTAL DISSIPATION AND HORIZONTAL MAGNETIC DIFFUSION

被引：13
|
作者：
Fan, Jishan [1 ]
Ozawa, Tohru [2 ]
机构：
[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China
[2] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan
来源：
KINETIC AND RELATED MODELS | 2014年 / 7卷 / 01期
关键词：
MHD; regularity criterion; BMO space; CLASSICAL-SOLUTIONS; EQUATIONS; INEQUALITIES; SPACES; WEAK;
D O I：
10.3934/krm.2014.7.45
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves some regularity criteria for the 2D MHD system with horizontal dissipation and horizontal magnetic diffusion. We also prove the global existence of strong solutions of its regularized MHD-alpha system.
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页码：45 / 56
页数：12
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