In this paper, we consider the regularity of weak solutions to the 3D magneto‐micropolar fluid equations. It is shown that if the velocity field or pressure belongs to some Lorentz spaces in both time and spatial directions, then the weak solutions are regular on [0, T]. In particular, we also obtain regularity criteria for the micropolar fluid equations and the MHD equations, respectively. Our results extend and generalize previous results.

中文翻译：

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洛伦兹空间中3D磁微极性流体方程的新正则性准则

在本文中，我们考虑了3D磁微极性流体方程的弱解的正则性。结果表明，如果速度场或压力在时间和空间方向上都属于某些洛伦兹空间，则弱解在[0，  T ]上是规则的。特别是，我们还分别获得了微极性流体方程和MHD方程的正则性准则。我们的结果扩展并概括了以前的结果。