A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in the Orlicz-Morrey space

被引：15
|
作者：
Gala, Sadek [1 ]
Sawano, Yoshihiro [2 ]
Tanaka, Hitoshi [3 ]
机构：
[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria
[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan
[3] Univ Tokyo, Dept Math Sci, Tokyo 1538914, Japan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 11期
基金：
日本学术振兴会;
关键词：
regularity; Orlicz-Morrey space; magneto-micropolar fluid; REGULARITY CRITERIA; MHD EQUATIONS; WEAK SOLUTIONS; MAGNETOHYDRODYNAMIC EQUATIONS; EXISTENCE; INEQUALITIES; UNIQUENESS; OPERATORS; STABILITY; SYSTEM;
D O I：
10.1002/mma.2535
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we are interested in the study of regularity for the three-dimensional magneto-micropolar fluid equations in OrliczMorrey spaces. If the velocity field satisfies u?L21-r0,T;ML2logPL3rR3?with?r?(0,1)?and?P>1 or the gradient field of velocity satisfies ?u?L22-r0,T;ML2logPL3rR3?with?r?(0,2)?and?P>1, then we show that the solution remains smooth on [0,T]. In view of the embedding L3r?Mp3r?ML2logPL3r with 2?<?p?<?3?/?r and P?>?1, we see that our result extends the result of Yuan and that of Gala. Copyright (c) 2012 John Wiley & Sons, Ltd.
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页码：1321 / 1334
页数：14
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