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

doi:10.3934/dcds.2018110

CSpace > 数学所

	ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS
	Wang, Wendong 1; Zhang, Liqun2,3 ; Zhang, Zhifei 4
	2018-05-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	38 期号:5 页码:2609-2627
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.
关键词	Interior regularity criteria Navier-Stokes equations LPS criterion harmonic function suitable weak solution
DOI	10.3934/dcds.2018110
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000438816700019
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/33417
专题	数学所
通讯作者	Wang, Wendong
作者单位	1.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China 2.Chinese Acad Sci, UCAS, Sch Math Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Math, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Peking Univ, Sch Math Sci, Beijing 100871, 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.