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MiS Preprint
16/2006

On toroidal rotating drops

Ryan Hynd and John McCuan

Abstract

The existence of toroidal rotating drops was observed experimentally by Plateau in 1841. In 1983 Gulliver rigorously showed that toroidal solutions of the governing equilibrium equations do indeed exist. In this short note, we settle two questions posed by Gulliver concerning the existence of additional toroidal solutions. We use a general assertion concerning rotationally symmetric surfaces whose meridian curves have inclination angle given as a function of distance from the axis along with explicit estimates for rotating drops.

Received:
Feb 10, 2006
Published:
Feb 10, 2006
Keywords:
rotating drops, mean curvature, Plateau, Delaunay

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2006 Repository Open Access
Ryan Hynd and John McCuan

On toroidal rotating drops

In: Pacific journal of mathematics, 224 (2006) 2, pp. 279-289