旋转液滴和德劳奈表面

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI:10.7546/jgsp-54-2019-55-78

V. Pulov, I. Mladenov

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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

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Rotating Liquid Drops and Delaunay Surfaces

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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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

期刊介绍： The Journal of Geometry and Symmetry in Physics is a fully-refereed, independent international journal. It aims to facilitate the rapid dissemination, at low cost, of original research articles reporting interesting and potentially important ideas, and invited review articles providing background, perspectives, and useful sources of reference material. In addition to such contributions, the journal welcomes extended versions of talks in the area of geometry of classical and quantum systems delivered at the annual conferences on Geometry, Integrability and Quantization in Bulgaria. An overall idea is to provide a forum for an exchange of information, ideas and inspiration and further development of the international collaboration. The potential authors are kindly invited to submit their papers for consideraion in this Journal either to one of the Associate Editors listed below or to someone of the Editors of the Proceedings series whose expertise covers the research topic, and with whom the author can communicate effectively, or directly to the JGSP Editorial Office at the address given below. More details regarding submission of papers can be found by clicking on "Notes for Authors" button above. The publication program foresees four quarterly issues per year of approximately 128 pages each.