A Regularity Criterion for the 3D Generalized MHD Equations

被引：14
|
作者：
Fan, Jishan [1 ]
Alsaedi, Ahmed [2 ]
Hayat, Tasawar [2 ,3 ]
Nakamura, Gen [4 ]
Zhou, Yong [2 ,5 ]
机构：
[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] Inha Univ, Dept Math, Inchon 402751, South Korea
[5] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2014年 / 17卷 / 3-4期
关键词：
Generalized MHD system; Regularity criterion; Fractional diffusion; MAGNETOHYDRODYNAMIC EQUATIONS; GLOBAL REGULARITY;
D O I：
10.1007/s11040-014-9159-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms (-Delta)alpha(u) and (-Delta)(beta)b with 0 < alpha < 5/4 <= beta.
引用
收藏
页码：333 / 340
页数：8
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