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Eigenvalue Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations

Eigenvalue Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations

Abstract In this paper, we consider several improved regularity criteria to the 3D micropolar fluid equations. In particular, we prove regularity criteria that only require control of the middle eigenvalue of strain tensor in critical Besov spaces, which can be regarded as improvement and extension of results very recently obtained.