Some Classes of Shapes of the Rotating Liquid Drop

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI:10.7546/jgsp-52-2019-67-102

V. Pulov, I. Mladenov

引用次数: 1

Abstract

Presented by Ivaïlo Mladenov Abstract. The problem of a fluid body rotating with a constant angular velocity and subjected to uniform external pressure is of real interest in both fluid dynamics and nuclear theory. Besides, from the geometrical viewpoint the sought equilibrium configuration of such system turns out to be equivalent to the problem of determining the surface of revolution with a prescribed mean curvature. In the simply connected case, the equilibrium surface can be parameterized explicitly via elliptic integrals of the first and second kind. MSC : 53A04, 53A05, 53A10, 53B50, 33E05, 53C22, 76B45, 76D45

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旋转液滴的几类形状

由Ivaïlo Mladenov提出摘要。以恒定角速度旋转并受到均匀外部压力的流体的问题，在流体动力学和核理论中都具有真正的意义。此外，从几何的观点来看，所寻求的系统平衡位形等同于确定具有规定平均曲率的旋转曲面的问题。在单连通情况下，平衡曲面可以通过第一类和第二类椭圆积分显式参数化。MSC: 53a04, 53a05, 53a10, 53b50, 33e05, 53c22, 76b45, 76d45

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

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