Logarithmic and  improved regularity criteria for the 3D nematic liquid crystals  models, Boussinesq system, and MHD equations in a bounded domain

Luigi C. Berselli; Jishan Fan

doi:10.3934/cpaa.2015.14.637

Article Contents

2015, Volume 14, Issue 2: 637-655. Doi: 10.3934/cpaa.2015.14.637

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Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain

Luigi C. Berselli^1, and
Jishan Fan^2,

1.
Dipartimento di Matematica, Via F. Buonarroti 2, 56126 Pisa
2.
Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037

Received: January 2014

Revised: July 2014

Published: March 2015

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Abstract

In this paper, we prove some logarithmically improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain.

Keywords:

Mathematics Subject Classification: 35Q30, 76D03, 76D09.

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