Uniqueness of Axisymmetric Viscous Flows Originating from Positive Linear Combinations of Circular Vortex Filaments

doi:10.1007/s00021-018-0391-4

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	Uniqueness of Axisymmetric Viscous Flows Originating from Positive Linear Combinations of Circular Vortex Filaments
	Levy, Guillaume 1; Liu, Yanlin 2,3
	2018-12-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	20 期号:4 页码:1835-1856
摘要	Following the recent papers by Gallay and Sverak (Conflu Math 7:67-92, 2015; Uniqueness of axisymmetric viscous flows originating from circular vortex filaments, arXiv:1609.02030), in the line of work initiated by Feng and Sverak (Arch Ration Mech Anal 215: 89-123 2015), we prove the uniqueness of a solution of the axisymmetric Navier-Stokes equations without swirl when the initial vorticity is a linear combination of positive Dirac masses.
关键词	Axisymmetric Navier-Stokes Fluid mechanics Vortex filaments 35Q30 76D03
DOI	10.1007/s00021-018-0391-4
语种	英语
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000451973300020
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31879
专题	中国科学院数学与系统科学研究院
通讯作者	Levy, Guillaume
作者单位	1.Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75252 Paris 05, France 2.Univ Sci & Technol China, Dept Math Sci, Hefei 230026, Anhui, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Levy, Guillaume,Liu, Yanlin. Uniqueness of Axisymmetric Viscous Flows Originating from Positive Linear Combinations of Circular Vortex Filaments[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2018,20(4):1835-1856.
APA	Levy, Guillaume,&Liu, Yanlin.(2018).Uniqueness of Axisymmetric Viscous Flows Originating from Positive Linear Combinations of Circular Vortex Filaments.JOURNAL OF MATHEMATICAL FLUID MECHANICS,20(4),1835-1856.
MLA	Levy, Guillaume,et al."Uniqueness of Axisymmetric Viscous Flows Originating from Positive Linear Combinations of Circular Vortex Filaments".JOURNAL OF MATHEMATICAL FLUID MECHANICS 20.4(2018):1835-1856.