A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces

A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces

We are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).

Bibliographic Details
Main Author: Chunhong Tian
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/3795172
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spelling doaj-0440ead4466942a988452ac1b311c4452020-11-24T22:57:52ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/37951723795172A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier SpacesChunhong Tian0Nanhang Jincheng College, Nanjing 211156, ChinaWe are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).http://dx.doi.org/10.1155/2017/3795172
collection DOAJ
language English
format Article
sources DOAJ
author Chunhong Tian
spellingShingle Chunhong Tian
A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
Journal of Function Spaces
author_facet Chunhong Tian
author_sort Chunhong Tian
title A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
title_short A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
title_full A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
title_fullStr A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
title_full_unstemmed A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
title_sort regularity criterion for the 3d incompressible magnetohydrodynamics equations in the multiplier spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2017-01-01
description We are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).
url http://dx.doi.org/10.1155/2017/3795172
work_keys_str_mv AT chunhongtian aregularitycriterionforthe3dincompressiblemagnetohydrodynamicsequationsinthemultiplierspaces
AT chunhongtian regularitycriterionforthe3dincompressiblemagnetohydrodynamicsequationsinthemultiplierspaces
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