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 \({ L^{\frac{3}{r}} \subset \overset{.}{\mathcal{M}}_{p,\frac{3}{r}}}\) , we see that our result is an improvement of (Yuan in Acta Mathematica Scientia, to appear).
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Gala, S. Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey–Campanato space. Nonlinear Differ. Equ. Appl. 17, 181–194 (2010). https://doi.org/10.1007/s00030-009-0047-4
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DOI: https://doi.org/10.1007/s00030-009-0047-4