{"title":"Convexity of the free boundary for two-dimensional compressible subsonic jet flow with vorticity","authors":"Xin Wang","doi":"10.1016/j.aml.2024.109303","DOIUrl":null,"url":null,"abstract":"<div><p>In the recent work (<span><span>[1]</span></span>, 2024) by Y. Li et al., the existence and uniqueness of the two-dimensional compressible subsonic jet flow with general vorticity were established. As a follow-up research, we will investigate the geometry shape of the free boundary for the compressible subsonic rotational jet flow. It is proved that if the nozzle is concave to the fluid, then the free boundary for the jet flow is strictly convex to the fluid. Furthermore, the positivity of the horizontal velocity in the fluid region is also obtained.</p></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"160 ","pages":"Article 109303"},"PeriodicalIF":2.9000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924003239","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In the recent work ([1], 2024) by Y. Li et al., the existence and uniqueness of the two-dimensional compressible subsonic jet flow with general vorticity were established. As a follow-up research, we will investigate the geometry shape of the free boundary for the compressible subsonic rotational jet flow. It is proved that if the nozzle is concave to the fluid, then the free boundary for the jet flow is strictly convex to the fluid. Furthermore, the positivity of the horizontal velocity in the fluid region is also obtained.
期刊介绍：
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
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