Regularity criteria of weak solutions to the three-dimensional micropolar flows

Regularity criteria of weak solutions to the three-dimensional micropolar fluid motion equations are discussed. Sufficient conditions for the regularity of weak solutions are presented by imposing Serrin's type growth conditions on the velocity field in Lorentz spaces, multiplier spaces, bounded mean oscillation spaces, and Besov spaces, respectively. The findings demonstrate that the velocity field plays a dominant role in the regularity problem of micropolar fluid motion equations.