VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL

doi:10.1007/s10473-026-0206-2

数学物理学报(英文版) ›› 2026, Vol. 46 ›› Issue (2): 605-616.doi: 10.1007/s10473-026-0206-2

VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL

Xinyao WANG, Xiaohuan WANG^*

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

收稿日期:2023-11-25 修回日期:2024-01-15 发布日期:2026-05-22

VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL

Xinyao WANG, Xiaohuan WANG^*

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Received:2023-11-25 Revised:2024-01-15 Published:2026-05-22
Contact: ^*Xiaohuan WANG, E-mail: xiaohuanw@126.com
About author:Xinyao WANG , E-mail: 961650446@qq.com
Supported by:
This research was partly supported by the NSF of China (12171247) and the Startup Foundation for Introducing Talent of NUIST.

摘要/Abstract

摘要： By making use of an adaption of Arnold variational principle [4], we construct a family of vortex patches of the inviscid, incompressible steady flow in a finite channel $\mathbb{T} \times [0,1]$.

关键词: 2D Euler, variational principle, vortex patches

Abstract: By making use of an adaption of Arnold variational principle [4], we construct a family of vortex patches of the inviscid, incompressible steady flow in a finite channel $\mathbb{T} \times [0,1]$.

Key words: 2D Euler, variational principle, vortex patches

中图分类号:

76B47

Xinyao WANG, Xiaohuan WANG. VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL[J]. 数学物理学报(英文版), 2026, 46(2): 605-616.

Xinyao WANG, Xiaohuan WANG. VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL[J]. Acta mathematica scientia,Series B, 2026, 46(2): 605-616.

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VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL

VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL

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