廣義磁流體方程組弱解的正則準(zhǔn)則

李鳳萍

(河南理工大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院,河南 焦作 454000)

廣義磁流體方程組弱解的正則準(zhǔn)則

李鳳萍

(河南理工大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院,河南 焦作 454000)

利用能量估計(jì)法和Littlewood-Paley分解技術(shù)研究三維廣義磁流體方程組軸對(duì)稱弱解的正則性,并得到用速度場(chǎng)和磁場(chǎng)的旋度的方位角分量控制的正則準(zhǔn)則.

廣義磁流體方程組;軸對(duì)稱弱解;正則準(zhǔn)則

1 引言

2 預(yù)備知識(shí)

3 主要結(jié)論的證明

參考文獻(xiàn)

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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.

數(shù)學(xué)天元基金(11126119);河南省科技創(chuàng)新人才計(jì)劃(2009HASTIT 007);河南理工大學(xué)青年骨干教師資助計(jì)劃(649177);河南省杰出青年計(jì)劃(104100510015);河南理工大學(xué)青年基金(Q 2011-14A).

李鳳萍(1980-),碩士,講師,研究方向:應(yīng)用偏微分方程.

2010 M SC:76W 05,35B65