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2011 Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations
Yu-Zhu Wang, Zigao Chen
J. Appl. Math. 2011: 1-12 (2011). DOI: 10.1155/2011/456547

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 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.

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Yu-Zhu Wang. Zigao Chen. "Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations." J. Appl. Math. 2011 1 - 12, 2011. https://doi.org/10.1155/2011/456547

Information

Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1228.35184
MathSciNet: MR2822400
Digital Object Identifier: 10.1155/2011/456547

Rights: Copyright © 2011 Hindawi

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