A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient

We consider the three-dimensional Boussinesq equations and obtain a regularity criterion involving the pressure gradient in the Morrey-Companato space Mp,q. This extends and improves the result of Gala (Gala 2013) for the Navier-Stokes equations.

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Main Author: Zujin Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/510924
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author Zujin Zhang
author_facet Zujin Zhang
author_sort Zujin Zhang
collection DOAJ
description We consider the three-dimensional Boussinesq equations and obtain a regularity criterion involving the pressure gradient in the Morrey-Companato space Mp,q. This extends and improves the result of Gala (Gala 2013) for the Navier-Stokes equations.
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institution Kabale University
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language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-95bea93969fc417c96fd9de4258df3fc2025-02-03T05:53:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/510924510924A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure GradientZujin Zhang0School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, ChinaWe consider the three-dimensional Boussinesq equations and obtain a regularity criterion involving the pressure gradient in the Morrey-Companato space Mp,q. This extends and improves the result of Gala (Gala 2013) for the Navier-Stokes equations.http://dx.doi.org/10.1155/2014/510924
spellingShingle Zujin Zhang
A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient
Abstract and Applied Analysis
title A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient
title_full A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient
title_fullStr A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient
title_full_unstemmed A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient
title_short A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient
title_sort remark on the regularity criterion for the 3d boussinesq equations involving the pressure gradient
url http://dx.doi.org/10.1155/2014/510924
work_keys_str_mv AT zujinzhang aremarkontheregularitycriterionforthe3dboussinesqequationsinvolvingthepressuregradient
AT zujinzhang remarkontheregularitycriterionforthe3dboussinesqequationsinvolvingthepressuregradient