可压缩纳维-斯托克斯方程球面对称解的渐近行为走向静止波

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-05 DOI:10.1007/s00021-024-00885-0

Itsuko Hashimoto, Shinya Nishibata, Souhei Sugizaki

{"title":"可压缩纳维-斯托克斯方程球面对称解的渐近行为走向静止波","authors":"Itsuko Hashimoto, Shinya Nishibata, Souhei Sugizaki","doi":"10.1007/s00021-024-00885-0","DOIUrl":null,"url":null,"abstract":"<div><p>The present paper studies an asymptotic behavior of a spherically symmetric solution on the exterior domain of an unit ball for the compressible Navier–Stokes equation, describing a motion of viscous barotropic gas. Especially we study outflow problem, that is, the fluid blows out through boundary. Precisely we show an asymptotic stability of a spherically symmetric stationary solutions provided that an initial disturbance of the stationary solution is sufficiently small in the Sobolev space.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic Behavior of Spherically Symmetric Solutions to the Compressible Navier–Stokes Equation Towards Stationary Waves\",\"authors\":\"Itsuko Hashimoto, Shinya Nishibata, Souhei Sugizaki\",\"doi\":\"10.1007/s00021-024-00885-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The present paper studies an asymptotic behavior of a spherically symmetric solution on the exterior domain of an unit ball for the compressible Navier–Stokes equation, describing a motion of viscous barotropic gas. Especially we study outflow problem, that is, the fluid blows out through boundary. Precisely we show an asymptotic stability of a spherically symmetric stationary solutions provided that an initial disturbance of the stationary solution is sufficiently small in the Sobolev space.</p></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00021-024-00885-0\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00021-024-00885-0","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了描述粘性气压运动的可压缩纳维-斯托克斯方程在单位球外部域上球面对称解的渐近行为。我们特别研究了流出问题，即流体吹出边界。确切地说，我们证明了球对称静止解的渐近稳定性，条件是静止解的初始扰动在索博列夫空间中足够小。

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

Asymptotic Behavior of Spherically Symmetric Solutions to the Compressible Navier–Stokes Equation Towards Stationary Waves

The present paper studies an asymptotic behavior of a spherically symmetric solution on the exterior domain of an unit ball for the compressible Navier–Stokes equation, describing a motion of viscous barotropic gas. Especially we study outflow problem, that is, the fluid blows out through boundary. Precisely we show an asymptotic stability of a spherically symmetric stationary solutions provided that an initial disturbance of the stationary solution is sufficiently small in the Sobolev space.

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

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.