

Preprint 16/2006
On toroidal rotating drops
Ryan Hynd and John McCuan
Contact the author: Please use for correspondence this email.
Submission date: 10. Feb. 2006
Pages: 12
published in: Pacific journal of mathematics, 224 (2006) 2, p. 279-289
Bibtex
Keywords and phrases: rotating drops, mean curvature, Plateau, Delaunay
Download full preprint: PDF (597 kB), PS ziped (223 kB)
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.