粘性Benjamin-Ono方程模型中弱分层流体内波的不规则动力学

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI:10.1134/S0040577925070037

M. V. Flamarion, E. Pelinovsky

{"title":"粘性Benjamin-Ono方程模型中弱分层流体内波的不规则动力学","authors":"M. V. Flamarion, E. Pelinovsky","doi":"10.1134/S0040577925070037","DOIUrl":null,"url":null,"abstract":"<p> We investigate the complex dynamics of narrow-band wave fields described by the viscous Benjamin–Ono equation, a model of significant relevance in hydrodynamics. Through detailed numerical simulations, we analyze the role of Reynolds viscosity in shaping statistical moments, energy spectra, and the occurrence of extreme internal wave events. In particular, we show that freak waves of moderate amplitude can occur in viscous fluids. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1126 - 1135"},"PeriodicalIF":1.1000,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Irregular dynamics of internal waves in a weakly stratified fluid in the viscous Benjamin–Ono equation model\",\"authors\":\"M. V. Flamarion, E. Pelinovsky\",\"doi\":\"10.1134/S0040577925070037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> We investigate the complex dynamics of narrow-band wave fields described by the viscous Benjamin–Ono equation, a model of significant relevance in hydrodynamics. Through detailed numerical simulations, we analyze the role of Reynolds viscosity in shaping statistical moments, energy spectra, and the occurrence of extreme internal wave events. In particular, we show that freak waves of moderate amplitude can occur in viscous fluids. </p>\",\"PeriodicalId\":797,\"journal\":{\"name\":\"Theoretical and Mathematical Physics\",\"volume\":\"224 1\",\"pages\":\"1126 - 1135\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2025-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0040577925070037\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577925070037","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 0

摘要

我们研究了由粘性Benjamin-Ono方程描述的窄带波场的复杂动力学，这是一个与流体动力学有重要关系的模型。通过详细的数值模拟，我们分析了雷诺数黏度在统计矩、能谱和极端内波事件发生中的作用。特别是，我们证明了中等振幅的畸形波可以出现在粘性流体中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Irregular dynamics of internal waves in a weakly stratified fluid in the viscous Benjamin–Ono equation model

We investigate the complex dynamics of narrow-band wave fields described by the viscous Benjamin–Ono equation, a model of significant relevance in hydrodynamics. Through detailed numerical simulations, we analyze the role of Reynolds viscosity in shaping statistical moments, energy spectra, and the occurrence of extreme internal wave events. In particular, we show that freak waves of moderate amplitude can occur in viscous fluids.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.