ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS

doi:10.3934/dcds.2018110

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	ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS
	Wang, Wendong 4; Zhang, Liqun1,2 ; Zhang, Zhifei 3
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2018-05-01
卷号	38 期号:5 页码:2609-2627
关键词	Interior regularity criteria Navier-Stokes equations LPS criterion harmonic function suitable weak solution
ISSN号	1078-0947
DOI	10.3934/dcds.2018110
英文摘要	We present some interior regularity criteria of the 3-D Navier-Stokes equations involving two components of the velocity. These results in particular imply that if the solution is singular at one point, then at least two components of the velocity have to blow up at the same point.
资助项目	NSF of China[11671067] ; NSF of China[11425103] ; Fundamental Research Funds for the Central Universities ; NSFC[11471320] ; NSFC[11631008]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000438816700019
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/33417]
专题	数学所
通讯作者	Wang, Wendong
作者单位	1.Chinese Acad Sci, UCAS, Sch Math Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
推荐引用方式 GB/T 7714	Wang, Wendong,Zhang, Liqun,Zhang, Zhifei. ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018,38(5):2609-2627.
APA	Wang, Wendong,Zhang, Liqun,&Zhang, Zhifei.(2018).ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,38(5),2609-2627.
MLA	Wang, Wendong,et al."ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 38.5(2018):2609-2627.