Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space

Abstract

In this paper, some improved regularity criteria for the 3D magneto-micropolar fluid equations are established in Morrey-Campanato spaces. It is proved that if the velocity field satisfies, or the gradient field of velocity satisfies, then the solution remains smooth on [0,T]. By the embedding, we see that our result is an improvement of (Yuan in Acta Mathematica Scientia, to appear). © 2009 Birkhäuser Verlag Basel/Switzerland.