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A note on regularity criterion for the 3D Boussinesq system with partial viscosity
Journal article   Open access  Peer reviewed

A note on regularity criterion for the 3D Boussinesq system with partial viscosity

Jishan Fan and Yong Zhou
Applied mathematics letters, Vol.22(5), pp.802-805
01/05/2009
DOI: https://doi.org/10.1016/j.aml.2008.06.041

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this note we prove a regularity criterion omega := curl u is an element of L(1)(0, T; B(infinity,infinity)(0)) for the 3D Boussinesq system with partial viscosity. Here u is the velocity, omega is the vorticity and B(infinity,infinity)(0) denotes the homogeneous Besov space. (C) 2008 Elsevier Ltd. All rights reserved.
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https://doi.org/10.1016/j.aml.2008.06.041View
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