A Survey of Delaunay Surfaces with Applications in Capillary Surfaces

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2022-01-01 DOI:10.7546/jgsp-64-2022-51-65

Binuri Perera, Thanuja Paragoda, Dayal Dharmasena

引用次数: 0

Abstract

In this paper we survey Delaunay surfaces in $\mathbb{R}^{3}$ spanning two coaxial circles which appear as capillary surfaces supported on different solid supports in the absence of gravity. We classify these surfaces based on contact angles and the geometry of the support. Numerical solutions of the Euler Lagrange equation are provided using numerical methods.

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德劳奈曲面及其在毛细管表面中的应用综述

本文研究了$\mathbb{R}^{3}$中跨越两个同轴圆的Delaunay曲面，它们在没有重力的情况下表现为支撑在不同固体支撑上的毛细曲面。我们根据接触角和支撑的几何形状对这些表面进行分类。用数值方法给出了欧拉-拉格朗日方程的数值解。

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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