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

页码：55 / 65

页数：11

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