Global cauchy problem of 2D generalized MHD equations

被引：105

作者：

Fan, Jishan ^{[1
]}

Malaikah, Honaida ^{[2
]}

Monaquel, Satha ^{[2
]}

Nakamura, Gen ^{[3
]}

Zhou, Yong ^{[2
,4
]}

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] Inha Univ, Dept Math, Inchon 402751, South Korea

[4] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 175卷 / 01期

关键词：

MHD; Fractional diffusion; Smooth solution; NAVIER-STOKES EQUATIONS; MAGNETOHYDRODYNAMIC EQUATIONS; REGULARITY;

D O I：

10.1007/s00605-014-0652-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the global-in-time existence of smooth solutions of the 2D generalized MHD system with fractional diffusion , .

引用

页码：127 / 131

页数：5

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