Open Access
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.

Copyright © 2011 Hindawi
Yu-Zhu Wang and Zigao Chen "Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations," Journal of Applied Mathematics 2011(none), 1-12, (2011). https://doi.org/10.1155/2011/456547
Published: 2011
Vol.2011 • 2011
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