A new pressure regularity criterion of the three-dimensional micropolar fluid equations

This paper concerns the regularity criterion of the weak solutions to the three-dimensional (3d) micropolar fluid equations in terms of the pressure. it is proved that if one of the partial derivatives of pressure satisfies ∂ 3 π ε lp (0,t; lq (r3)) with 2 / p + 3 / q ≤ 2,3 < q < ∞,1 < p < ∞,then the weak solution of the micropolar fluid equations becomes regular on (0,t ]. © 2013 junbai ren.