A Regularity Criterion for the 3D Generalized MHD Equations

被引:2
|
作者
Jishan Fan
Ahmed Alsaedi
Tasawar Hayat
Gen Nakamura
Yong Zhou
机构
[1] Nanjing Forestry University,Department of Applied Mathematics
[2] King Abdulaziz University,Department of Mathematics, Faculty of Science
[3] Quaid-I-Azam University 45320,Department of Mathematics
[4] Inha University,Department of Mathematics
[5] Shanghai University of Finance and Economics,School of Mathematics
关键词
Generalized MHD system; Regularity criterion; Fractional diffusion;
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摘要
This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms ( − Δ)αu and ( − Δ)βb with 0<α<54≤β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$0<\alpha <\frac 54\leqslant \beta $\end{document}.
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页码:333 / 340
页数:7
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