Abstract
Regularity criterion for the 3D micropolar fluid equations is investigated. We prove that, for some T > 0, if , where 3/ϱ + 2/ρ ≤ 1 and ϱ ≥ 3, then the solution (v, w) can be extended smoothly beyond t = T. The derivative can be substituted with any directional derivative of v.
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