N-Symmetric Interaction of N Hetons, II: Analysis of the Case of Arbitrary N

IF 17.7 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-24 DOI:10.3390/fluids9060122
Konstantin V. Koshel, M. Sokolovskiy, D. Dritschel, J. Reinaud
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Abstract

This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. From the point of view of geophysical applications, the results may help interpret the propagation of thermal anomalies in the oceans.
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N 个赫子的 N 对称相互作用,II:任意 N 的情况分析
本文针对涡旋(或涡流)强度总和(环流异常)消失的特殊情况,寻找并研究了双层地转模型的 N 对称涡旋解。这项研究是对[Sokolovskiy 等人,Phys. Fluids 2020, 32, 09660]的扩展,[Sokolovskiy 等人,Phys. Fluids 2020, 32, 09660]给出了任意 N 的一般公式,但只对 N=2 进行了分析。在这里,我们得到了静止解系列,并详细研究了它们的特性,包括渐近特性。从地球物理应用的角度来看,这些结果可能有助于解释热异常在海洋中的传播。
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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来源期刊
Accounts of Chemical Research
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.
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