广义磁流体方程组弱解的正则准则

2012-07-05 14:32李凤萍
纯粹数学与应用数学 2012年6期
关键词:磁流体正则方程组

李凤萍

(河南理工大学数学与信息科学学院,河南 焦作 454000)

广义磁流体方程组弱解的正则准则

李凤萍

(河南理工大学数学与信息科学学院,河南 焦作 454000)

利用能量估计法和Littlewood-Paley分解技术研究三维广义磁流体方程组轴对称弱解的正则性,并得到用速度场和磁场的旋度的方位角分量控制的正则准则.

广义磁流体方程组;轴对称弱解;正则准则

1 引言

2 预备知识

3 主要结论的证明

参考文献

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[8]李凤萍,原保全.广义磁流体方程组轴对称弱解的正则准则[J].高校应用数学学报,2010,25(3):319-325.

[9]李凤萍.广义磁流体方程光滑解的爆破准则[J].山东大学学报:理学版,2010,45(3):90-94.

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The regu larity criterion to the w eak solu tions of the generalized m agnetohyd rodynam ic equations

Li Fengping

(School of M athem atics and Inform atics,Henan Polytechnic University,Jiaozuo 454000,China)

In this paper,we study the regularity criterion of the axisymm etric weak solutions to the generalized magneto-hydrodynam ic equations in R3by means of energy method and Littlewood-Paley decom position,and obtain a criterion by the azimuthal com ponents of vorticities to velocity and m agnetic field.

generalized magnetohyd rodynam ic equations,axisymmetric weak solution,regu larity criterion

O175.2

A

1008-5513(2012)06-0735-09

2012-07-02.

数学天元基金(11126119);河南省科技创新人才计划(2009HASTIT 007);河南理工大学青年骨干教师资助计划(649177);河南省杰出青年计划(104100510015);河南理工大学青年基金(Q 2011-14A).

李凤萍(1980-),硕士,讲师,研究方向:应用偏微分方程.

2010 M SC:76W 05,35B65

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