{"title":"Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior","authors":"Gerhard Ströhmer","doi":"10.1007/s00021-024-00912-0","DOIUrl":null,"url":null,"abstract":"<div><p>We consider the movement of self-gravitating gas balls consisting of viscous barotropic fluids in the neighborhood of an equilibrium state. If this state fulfills a certain stability condition, we show that the solutions exist for all time. We allow perturbations that change the angular momentum.\n</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"27 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-11-30","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://link.springer.com/article/10.1007/s00021-024-00912-0","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
Abstract
We consider the movement of self-gravitating gas balls consisting of viscous barotropic fluids in the neighborhood of an equilibrium state. If this state fulfills a certain stability condition, we show that the solutions exist for all time. We allow perturbations that change the angular momentum.
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.
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