On two-dimensional magnetohydrodynamic equations with fractional diffusion

被引：8
|
作者：
Ji, Eunjeong [1 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 80卷
关键词：
MHD equation; Existence; Fourier series method; SUITABLE WEAK SOLUTIONS; REGULARITY CRITERIA; MHD EQUATIONS; TERMS; EXISTENCE; THEOREM;
D O I：
10.1016/j.na.2012.11.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the existence of the smooth solution for two-dimensional magnetohydrodynamic equations with fractional diffusion in the fluid equations. In particular, we prove the global-in-time existence of fractional diffusion with power greater than 1/2. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：55 / 65
页数：11
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