'American Institute of Mathematical Sciences (AIMS)'
Doi
Abstract
This paper is devoted to investigating regularity criteria for the 3D micropolar fluid equations in terms of pressure in weak Lebesgue space. More precisely, we prove that the weak solution is regular on (0,T] provided that either the norm ∥π∥Lα,∞(0,T;Lβ,∞(R3)) with α2+β3=2 and \frac{3}{2} < \beta < \infty or ∥∇π∥Lα,∞(0,T;Lβ,∞(R3)) with α2+β3=3 and 1 < \beta < \infty is sufficiently small