This paper studies the regularity criterion of weak solutions to the micropolar
fluid equations in three dimensions. Let (∇u∈L ^{2/ 2- γ} (0,T; ˙B^{- γ} _∞,∞),∇ω ∈L²(0,T; ˙B^-1 _∞,∞), it
is showed that the weak solution (u,ω) is globally regular for the case 0< γ <2.

This paper studies the regularity criterion of weak solutions to the micropolar
fluid equations in three dimensions. Let (∇u∈L ^{2/ 2- γ} (0,T; ˙B^{- γ} _∞,∞),∇ω ∈L²(0,T; ˙B^-1 _∞,∞), it
is showed that the weak solution (u,ω) is globally regular for the case 0< γ <2.