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ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS
Wang, Wendong1; Zhang, Liqun2,3; Zhang, Zhifei4
2018-05-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
Volume38Issue:5Pages:2609-2627
AbstractWe 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.
KeywordInterior regularity criteria Navier-Stokes equations LPS criterion harmonic function suitable weak solution
DOI10.3934/dcds.2018110
Language英语
Funding ProjectNSF of China[11671067] ; NSF of China[11425103] ; Fundamental Research Funds for the Central Universities ; NSFC[11471320] ; NSFC[11631008]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000438816700019
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33417
Collection数学所
Corresponding AuthorWang, Wendong
Affiliation1.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
Recommended Citation
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.
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