{"title":"旋转液滴和德劳奈表面","authors":"V. Pulov, I. Mladenov","doi":"10.7546/jgsp-54-2019-55-78","DOIUrl":null,"url":null,"abstract":"Presented by Ivaïlo M. Mladenov Abstract. Here we consider the problem of finding the equilibrium configurations of a rotating liquid drop, paying special attention to the cases when the droplet takes the shape of a Delaunay surface. By making use of the canonical forms of the elliptic integrals and the Jacobian elliptic functions we have derived several explicit parameterizations of the Delaunay surfaces. They are expressed relying on two independent real parameters accounting respectively the size and the shape so that all possible Delaunay surfaces are represented in a unified way. MSC : 53A04, 53A05, 53A10, 53B50, 33E05, 76B45, 76D45","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Rotating Liquid Drops and Delaunay Surfaces\",\"authors\":\"V. Pulov, I. Mladenov\",\"doi\":\"10.7546/jgsp-54-2019-55-78\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Presented by Ivaïlo M. Mladenov Abstract. Here we consider the problem of finding the equilibrium configurations of a rotating liquid drop, paying special attention to the cases when the droplet takes the shape of a Delaunay surface. By making use of the canonical forms of the elliptic integrals and the Jacobian elliptic functions we have derived several explicit parameterizations of the Delaunay surfaces. They are expressed relying on two independent real parameters accounting respectively the size and the shape so that all possible Delaunay surfaces are represented in a unified way. MSC : 53A04, 53A05, 53A10, 53B50, 33E05, 76B45, 76D45\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/jgsp-54-2019-55-78\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/jgsp-54-2019-55-78","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
由Ivaïlo M. Mladenov提出摘要。这里我们考虑寻找一个旋转液滴的平衡构型的问题，特别注意液滴呈德劳奈表面形状的情况。利用椭圆积分的标准形式和雅可比椭圆函数，导出了德劳内曲面的几个显式参数化。它们的表示依赖于两个独立的实参数，分别表示大小和形状，以便所有可能的德劳内曲面都以统一的方式表示。MSC: 53a04, 53a05, 53a10, 53b50, 33e05, 76b45, 76d45
Presented by Ivaïlo M. Mladenov Abstract. Here we consider the problem of finding the equilibrium configurations of a rotating liquid drop, paying special attention to the cases when the droplet takes the shape of a Delaunay surface. By making use of the canonical forms of the elliptic integrals and the Jacobian elliptic functions we have derived several explicit parameterizations of the Delaunay surfaces. They are expressed relying on two independent real parameters accounting respectively the size and the shape so that all possible Delaunay surfaces are represented in a unified way. MSC : 53A04, 53A05, 53A10, 53B50, 33E05, 76B45, 76D45
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