{"title":"稳定旋转恒星的连续体","authors":"W. Strauss","doi":"10.1090/qam/1641","DOIUrl":null,"url":null,"abstract":"This article is a brief survey of mathematical work, joint with Yilun Wu and Juhi Jang, on models of stars and galaxies. It is a sequel to the survey article by Yilun Wu [Quart. Appl. Math. 78 (2020), pp. 147–159]. The models consider rotating stars (or galaxies or gaseous planets) as composed of particles subject to gravity. Under appropriate conditions, global families of isentropic steadily rotating stars are shown to exist. Local families are also shown to exist even in the presence of variable entropy and arbitrary axisymmetric angular velocity.","PeriodicalId":20964,"journal":{"name":"Quarterly of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Continua of steadily rotating stars\",\"authors\":\"W. Strauss\",\"doi\":\"10.1090/qam/1641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is a brief survey of mathematical work, joint with Yilun Wu and Juhi Jang, on models of stars and galaxies. It is a sequel to the survey article by Yilun Wu [Quart. Appl. Math. 78 (2020), pp. 147–159]. The models consider rotating stars (or galaxies or gaseous planets) as composed of particles subject to gravity. Under appropriate conditions, global families of isentropic steadily rotating stars are shown to exist. Local families are also shown to exist even in the presence of variable entropy and arbitrary axisymmetric angular velocity.\",\"PeriodicalId\":20964,\"journal\":{\"name\":\"Quarterly of Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quarterly of Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1090/qam/1641\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly of Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/qam/1641","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
This article is a brief survey of mathematical work, joint with Yilun Wu and Juhi Jang, on models of stars and galaxies. It is a sequel to the survey article by Yilun Wu [Quart. Appl. Math. 78 (2020), pp. 147–159]. The models consider rotating stars (or galaxies or gaseous planets) as composed of particles subject to gravity. Under appropriate conditions, global families of isentropic steadily rotating stars are shown to exist. Local families are also shown to exist even in the presence of variable entropy and arbitrary axisymmetric angular velocity.
期刊介绍:
The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume.
This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.