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

Regularity criteria of weak solutions to the three-dimensional micropolar flows
Regularity criteria of weak solutions to the three-dimensional micropolar flows
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.
0022-2488
103525-[13pp]
Dong, Bo-Qing
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Dong, Bo-Qing
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Dong, Bo-Qing (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).

Record type: Article

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.

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More information

Published date: 14 October 2009
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 71921
URI: http://eprints.soton.ac.uk/id/eprint/71921
ISSN: 0022-2488
PURE UUID: b913bb5f-edd0-4518-a05e-e6e56364ffe5

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Date deposited: 12 Jan 2010
Last modified: 13 Mar 2024 20:53

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Author: Bo-Qing Dong

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