VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL

  • Xinyao WANG ,
  • Xiaohuan WANG
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  • School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Xinyao WANG , E-mail: 961650446@qq.com

Received date: 2023-11-25

  Revised date: 2024-01-15

  Online published: 2026-05-22

Supported by

This research was partly supported by the NSF of China (12171247) and the Startup Foundation for Introducing Talent of NUIST.

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 $\mathbb{T} \times [0,1]$.

Cite this article

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 . DOI: 10.1007/s10473-026-0206-2

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