Nonlinear orbital stability for planar vortex patches

Daomin Cao; Jie Wan; Guodong Wang

doi:10.1090/proc/14077

Nonlinear orbital stability for planar vortex patches

Daomin Cao
, Jie Wan
, Guodong Wang

Guangzhou University
CAS - Institute of Applied Mathematics
University of Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method.

源语言	英语
页（从-至）	775-784
页数	10
期刊	Proceedings of the American Mathematical Society
卷	147
期	2
DOI	https://doi.org/10.1090/proc/14077
出版状态	已出版 - 2月 2019
已对外发布	是

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abstract = "In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method.",

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AB - In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method.

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Nonlinear orbital stability for planar vortex patches

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