Regularity criteria for 3D Boussinesq equations with zero thermal diffusion

Regularity criteria for 3D Boussinesq equations with zero thermal diffusion

In this article, we consider the three-dimensional (3D) incompressible Boussinesq equations with zero thermal diffusion. We establish a regularity criterion for the local smooth solution in the framework of Besov spaces in terms of the velocity only.

Bibliographic Details
Main Author: Zhuan Ye
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
3D Boussinesq equations
Besov spaces
regularity criterion
Online Access:http://ejde.math.txstate.edu/Volumes/2015/97/abstr.html
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spelling doaj-0a751d95bab0460f81fd9b5ccd1442da2020-11-24T23:02:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-04-01201597,17Regularity criteria for 3D Boussinesq equations with zero thermal diffusionZhuan Ye0 Beijing Normal Univ., China In this article, we consider the three-dimensional (3D) incompressible Boussinesq equations with zero thermal diffusion. We establish a regularity criterion for the local smooth solution in the framework of Besov spaces in terms of the velocity only.http://ejde.math.txstate.edu/Volumes/2015/97/abstr.html3D Boussinesq equations Besov spacesregularity criterion
collection DOAJ
language English
format Article
sources DOAJ
author Zhuan Ye
spellingShingle Zhuan Ye
Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
Electronic Journal of Differential Equations
3D Boussinesq equations
Besov spaces
regularity criterion
author_facet Zhuan Ye
author_sort Zhuan Ye
title Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
title_short Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
title_full Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
title_fullStr Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
title_full_unstemmed Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
title_sort regularity criteria for 3d boussinesq equations with zero thermal diffusion
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2015-04-01
description In this article, we consider the three-dimensional (3D) incompressible Boussinesq equations with zero thermal diffusion. We establish a regularity criterion for the local smooth solution in the framework of Besov spaces in terms of the velocity only.
topic 3D Boussinesq equations
Besov spaces
regularity criterion
url http://ejde.math.txstate.edu/Volumes/2015/97/abstr.html
work_keys_str_mv AT zhuanye regularitycriteriafor3dboussinesqequationswithzerothermaldiffusion
_version_ 1725637578326016000

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