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.

引用

页码：1321 / 1334

页数：14

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