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Transactions of the American Mathematical Society
Article . 2023 . Peer-reviewed
License: https://www.ams.org/publications/copyright-and-permissions
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2023
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Remarks on orbital stability of steady vortex rings

descriptionPublicationkeyboard_double_arrow_right Article 28 Feb 2023 English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 376, pages 3,377-3,395 (issn: 0002-9947, eissn: 1088-6850, Copyright policy )
Authors: Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun;

doi: 10.1090/tran/8888

Remarks on orbital stability of steady vortex rings

Abstract

In this paper, we study nonlinear orbital stability of steady vortex rings without swirl, which are special global solutions of the three-dimensional incompressible Euler equations. We prove the existence of orbitally stable steady vortex rings. The proof is based on the classical variational method.

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Keywords

Variational methods applied to problems in fluid mechanics, 3D Euler incompressible equations, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, existence, uniqueness, global weak solution, Vortex flows for incompressible inviscid fluids, Euler equations, variational method, Hill vortex

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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Average
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