A Survey of Delaunay Surfaces with Applications in Capillary Surfaces
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Published:2022
Issue:
Volume:64
Page:51-65
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ISSN:1312-5192
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Container-title:Journal of Geometry and Symmetry in Physics
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language:
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Short-container-title:J. Geom. Symmetry Phys.
Author:
Perera Binuri,Paragoda Thanuja,Dharmasena Dayal
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.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Geometry and Topology,Mathematical Physics