A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces

Abstract

By establishing a new trilinear estimate, we show a regularity criterion for the three dimensional micropolar fluid system via the velocity in homogeneous Besov spaces. This improves [B. Q. Dong, Z. L. Zhang, On the regularity criterion for three-dimensional micropolar fluid flows in Besov spaces, Nonlinear Anal. 73(2010), 2334-2341] in some sense.

Keywords

• micropolar fluid flows
• regularity criteria
• besov spaces