Regularity of Weak Solutions to the 3D Magneto-Micropolar Equations in Besov Spaces

Abstract

This paper deals with the regularity of weak solutions to the 3D magneto-micropolar fluid equations in Besov spaces. It is shown that for $0\le\alpha\le1$ if $u\in L^{\frac{2}{1+\alpha}}(0,T; \dot{B}_{\infty,\infty}^{\alpha})$ , then the weak solution $(u,\omega ,b)$ is regular on $(0,T]$ .