Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure

In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) micropolar fluid flows. It is proved that if the pressure satisfies π ∈ L q ( 0 , T ; B p , ∞ r ( R 3 ) ) , 2 q + 3 p = 2 + r , 3 2 + r < p < ∞ , − 1 < r ≤ 1 , then the weak solution ( u , w ) becomes a regular solution on ( 0 , T ] . The methods are based on the innovative function decomposition technique.