Regularity criterion of weak solution for the 3D Magneto-micropolar fluid equations in Besov spaces

In this paper, we consider the 3D Magneto-micropolar fluid equations in Besov spaces. We improve and extend some known regularity criterion of weak solution for the 3D Magneto-micropolar fluid equations by means of the Fourier localization technique and Bony’s para-product decomposition.

► This paper investigated the 3D Magneto-micropolar fluid equations in Besov spaces.
► A regularity criterion is obtained in the framework of Besov spaces with negative index in terms of the velocity only.
► In this paper the results derived are the improved results than that in the papers [7], [8] and [9].