In this paper, we study the regularity criterion of the axisymmetric weak solutions to the generalized magneto-hydrodynamic equations in R3 by means of energy method and Littlewood-Paley decomposition, and obtain a criterion by the azimuthal components of vorticities to velocity and magnetic field.% 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。
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