磁微极流体方程组弱解的正则准则

doi:10.6040/j.issn.1671-9352.0.2014.214

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (05): 60-67.doi: 10.6040/j.issn.1671-9352.0.2014.214

磁微极流体方程组弱解的正则准则

李凤萍, 陈光霞

河南理工大学数学与信息科学学院, 河南焦作 454000

收稿日期:2014-05-13 出版日期:2015-05-20 发布日期:2015-05-29
作者简介:李凤萍(1980-),女,硕士,讲师,研究方向为非线性偏微分方程.E-mail:lfp@hpu.edu.cn
基金资助:
河南理工大学青年骨干教师资助项目(649177,72105/131)

Regularity criteria for weak solutions to the 3D magneto-micropolar fluid equations

LI Feng-ping, CHEN Guang-xia

School of Mathematics and Information, Henan Polytechnic University, Jiaozuo 454000, Henan, China

Received:2014-05-13 Online:2015-05-20 Published:2015-05-29

摘要/Abstract

摘要： 利用能量分析法和Littlewood-Paley分解技术研究三维不可压磁微极流体方程组弱解的正则性, 得到了用压力p在 Lebegue空间, Lorentz空间, BMO空间和Besov空间中的范数控制的弱解正则准则。

关键词: 磁微极流体方程组, 正则准则, 弱解

Abstract: We consider the regularity criteria of the weak solutions for the 3D magneto-micropolar fluid equations by energy method and Littlewood-Paley decomposition, and prove some regularity criteria involving the pressure or pressure gradient for weak solutions in Lebegue, Lorentz, BMO and Besov spaces.

Key words: magneto-micropolar fluid equations, weak solution, regularity criterion

中图分类号:

O175.2

李凤萍, 陈光霞. 磁微极流体方程组弱解的正则准则[J]. 山东大学学报（理学版）, 2015, 50(05): 60-67.

LI Feng-ping, CHEN Guang-xia. Regularity criteria for weak solutions to the 3D magneto-micropolar fluid equations[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(05): 60-67.

参考文献

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磁微极流体方程组弱解的正则准则

Regularity criteria for weak solutions to the 3D magneto-micropolar fluid equations

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