Existence of Steady Symmetric Vortex Patch in a Disk

doi:10.1007/s00021-020-00550-2

CSpace > 应用数学研究所

	Existence of Steady Symmetric Vortex Patch in a Disk
	Cao, Daomin1,2 ; Wang, Guodong 3; Zuo, Bijun 4
	2021-02-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	23 期号:1 页码:13
摘要	In this paper, we construct a family of symmetric vortex patches for the 2D steady incompressible Euler equations in a disk. The result is obtained by studying a variational problem in which the kinetic energy of the fluid is maximized subject to some appropriate constraints for the vorticity. Moreover, we show that these vortex patches "shrink" to a given minimum point of the corresponding Kirchhoff-Routh function as the vorticity strength parameter goes to infinity.
关键词	Euler equation Ideal fluid Vortex patch Kirchhoff-Routh function Variational problem
DOI	10.1007/s00021-020-00550-2
收录类别	SCI
语种	英语
资助项目	NNSF of China[12001135] ; NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; China Postdoctoral Science Foundation[2019M661261]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000606304400001
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/57980
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 4.Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wang, Guodong,Zuo, Bijun. Existence of Steady Symmetric Vortex Patch in a Disk[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2021,23(1):13.
APA	Cao, Daomin,Wang, Guodong,&Zuo, Bijun.(2021).Existence of Steady Symmetric Vortex Patch in a Disk.JOURNAL OF MATHEMATICAL FLUID MECHANICS,23(1),13.
MLA	Cao, Daomin,et al."Existence of Steady Symmetric Vortex Patch in a Disk".JOURNAL OF MATHEMATICAL FLUID MECHANICS 23.1(2021):13.