Regularity criteria of weak solutions to the three-dimensional micropolar flows


Dong , Bo-Qing and Chen, Zhi-Min (2009) Regularity criteria of weak solutions to the three-dimensional micropolar flows. Journal of Mathematical Physics, 50, (10), 103525-[13pp]. (doi:10.1063/1.3245862).

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Description/Abstract

Regularity criteria of weak solutions to the three-dimensional micropolar fluid motion equations are discussed. Sufficient conditions for the regularity of weak solutions are presented by imposing Serrin's type growth conditions on the velocity field in Lorentz spaces, multiplier spaces, bounded mean oscillation spaces, and Besov spaces, respectively. The findings demonstrate that the velocity field plays a dominant role in the regularity problem of micropolar fluid motion equations.

Item Type: Article
ISSNs: 0022-2488 (print)
Subjects: Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences > Fluid-Structure Interactions
ePrint ID: 71921
Date Deposited: 12 Jan 2010
Last Modified: 27 Mar 2014 18:51
URI: http://eprints.soton.ac.uk/id/eprint/71921

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