有界平面域中稳定驻点涡周围涡度的长时间约束

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-09-01 DOI:10.1016/j.anihpc.2020.11.009

Martin Donati, Dragoș Iftimie

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引用次数: 6

摘要

在本文中，我们考虑了简单连通有界平面域中的不可压缩欧拉方程。我们研究了驻点涡周围的涡度约束。我们证明了在[2]中获得的单位圆盘中心周围的幂律约束在单连通有界域中的驻点涡旋的情况下仍然成立。域和驻点涡必须满足用从域到单位圆盘的保角映射表示的条件。最后讨论了显式例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain

In this paper we consider the incompressible Euler equation in a simply-connected bounded planar domain. We study the confinement of the vorticity around a stationary point vortex. We show that the power law confinement around the center of the unit disk obtained in [2] remains true in the case of a stationary point vortex in a simply-connected bounded domain. The domain and the stationary point vortex must satisfy a condition expressed in terms of the conformal mapping from the domain to the unit disk. Explicit examples are discussed at the end.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.