{"title":"Injection of Fluid from a Slot into a Stream: Uniqueness","authors":"Lili Du, Yuanhong Zhao","doi":"10.1007/s00021-024-00896-x","DOIUrl":null,"url":null,"abstract":"<div><p>This is a sequel work on the existence of the solution to the free boundary problem on injection of fluid from a slot into a uniform stream with two free boundaries by Stojanovic (IMA J Appl Math 41:237–253, 1988). However, the uniqueness of the solution to the two-phase fluids problem with two free boundaries remains unresolved. In this paper, we will establish the asymptotic behavior of the flow in the upstream and prove the uniqueness of the solution to this problem.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"26 4","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-09-21","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/s00021-024-00896-x","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
This is a sequel work on the existence of the solution to the free boundary problem on injection of fluid from a slot into a uniform stream with two free boundaries by Stojanovic (IMA J Appl Math 41:237–253, 1988). However, the uniqueness of the solution to the two-phase fluids problem with two free boundaries remains unresolved. In this paper, we will establish the asymptotic behavior of the flow in the upstream and prove the uniqueness of the solution to this problem.
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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