Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations

Yu-Zhu Wang and Zigao Chen

Journal of Applied Mathematics, 2011, vol. 2011, 1-12

Abstract:

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

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:456547

DOI: 10.1155/2011/456547

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