Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid

doi:10.1007/s00021-021-00588-w

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	Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid
	Cao, Daomin1,2 ; Wang, Guodong 3
	2021-08-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	23 期号:3 页码:16
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.
关键词	Euler equations vortex patch nonlinear stability Kirchhoff-Routh function
DOI	10.1007/s00021-021-00588-w
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000647732600001
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/58606
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
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.