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 1.2 3区数学 Q2 MATHEMATICS, APPLIED Journal of Mathematical Fluid Mechanics 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":"<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>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.2000,"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\":\"<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>\",\"PeriodicalId\":649,\"journal\":{\"name\":\"Journal of Mathematical Fluid Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Fluid Mechanics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00021-024-00885-0\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Fluid Mechanics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00021-024-00885-0","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","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

微信好友朋友圈 QQ好友复制链接

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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.