Abstract: In this paper, we investigate the regularity criterion via the pressure of weak solutions to the micropolar fluid equations in three dimensions. We obtain that for 0 < a < 1 if $p \epsilon L^{\frac{2}{\alpha}} (0,T, \dot{B}_{\infty, \infty}^{\alpha})$, then the weak solution (υ,ω) is regular on (0, T].

Key words: micropolar fluid equations, pressure, regularity criteria, Besov space