Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid

doi:10.1007/s00021-021-00588-w

	Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid
	Cao, Daomin 2,3; Wang, Guodong 1
刊名	JOURNAL OF MATHEMATICAL FLUID MECHANICS
	2021-08-01
卷号	23 期号:3 页码:16
关键词	Euler equations vortex patch nonlinear stability Kirchhoff-Routh function
ISSN号	1422-6928
DOI	10.1007/s00021-021-00588-w
英文摘要	In this paper, we prove nonlinear stability of planar vortex patches concentrated near a non-degenerate minimum point of the Robin function in a general bounded domain. These vortex patches are stationary solutions of the two-dimensional incompressible Euler equations. The result is obtained by showing that these concentrated vortex patches are in fact isolated maximizers of the kinetic energy among isovortical patches.
资助项目	NNSF of China[12001135] ; NNSF of China[12071098] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; China Postdoctoral Science Foundation[2019M661261]
WOS研究方向	Mathematics ; Mechanics ; Physics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000647732600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58605]
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, Daomin
作者单位	1.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wang, Guodong. Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2021,23(3):16.
APA	Cao, Daomin,&Wang, Guodong.(2021).Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid.JOURNAL OF MATHEMATICAL FLUID MECHANICS,23(3),16.
MLA	Cao, Daomin,et al."Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid".JOURNAL OF MATHEMATICAL FLUID MECHANICS 23.3(2021):16.