Regularity criteria for weak solutions of the Magneto-micropolar equations

In this paper, we show that a weak solution \begin{document}$ (\mathbf{u},\mathbf{w},\mathbf{b})(\cdot,t) $\end{document} of the magneto-micropolar equations, defined in \begin{document}$ [0,T) $\end{document} , which satisfies \begin{document}$ \nabla u_3, \nabla_{h} \mathbf{w}, \nabla_{h} \mathbf{b} $\end{document} \begin{document}$ \in L^{\frac{32}{7}}(0,T; $\end{document} \begin{document}$ L^2(\mathbb{R}^3)) $\end{document} or \begin{document}$ \partial_3 u_3, \partial_3 \mathbf{w}, \partial_3 \mathbf{b} \in L^{\infty}(0,T;L^2(\mathbb{R}^3)) $\end{document} , is regular in \begin{document}$ \mathbb{R}^3\times(0,T) $\end{document} and can be extended as a \begin{document}$ C^\infty $\end{document} solution beyond \begin{document}$ T $\end{document} .