论文标题
轴向对称的MHD-BoussinesQ系统的一个组件规则标准：速度的漩涡分量标准
One component regularity criteria for the axially symmetric MHD-Boussinesq system: criteria on the swirl component of the velocity
论文作者
论文摘要
在本文中，我们考虑了一类3D轴向对称的MHD-BoussinesQ系统的规律性标准，而没有磁性电阻率或热扩散率。在速度的水平角部分上的某些Prodi-Serrin类型的关键假设下，我们将证明，如果仅包含磁场仅包含水平漩涡组件，则可以平滑地扩展轴向对称的MHD MHD-BousSinesQ系统的强溶液。没有对磁场和温度波动的先验假设。
In this paper, we consider regularity criteria of a class of 3D axially symmetric MHD-Boussinesq systems without magnetic resistivity or thermal diffusivity. Under some Prodi-Serrin type critical assumptions on the horizontal angular component of the velocity, we will prove that strong solutions of the axially symmetric MHD-Boussinesq system can be smoothly extended beyond the possible blow-up time $T_\ast$ if the magnetic field contains only the horizontal swirl component. No a priori assumption on the magnetic field and the temperature fluctuation is imposed.
