Traveling vortex pairs for 2D incompressible Euler equations

doi:10.1007/s00526-021-02068-5

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	Traveling vortex pairs for 2D incompressible Euler equations
	Cao, Daomin1,2 ; Lai, Shanfa 1,2; Zhan, Weicheng 3
	2021-10-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	60 期号:5 页码:16
摘要	In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of traveling vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal intensities but opposite signs. The results are obtained by using an improved vorticity method.
关键词	35J60 35Q31 76B47
DOI	10.1007/s00526-021-02068-5
收录类别	SCI
语种	英语
资助项目	NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000692317500003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59196
专题	应用数学研究所
通讯作者	Zhan, Weicheng
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Lai, Shanfa,Zhan, Weicheng. Traveling vortex pairs for 2D incompressible Euler equations[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2021,60(5):16.
APA	Cao, Daomin,Lai, Shanfa,&Zhan, Weicheng.(2021).Traveling vortex pairs for 2D incompressible Euler equations.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,60(5),16.
MLA	Cao, Daomin,et al."Traveling vortex pairs for 2D incompressible Euler equations".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 60.5(2021):16.