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.
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Keywords
rotating drops, mean curvature, Plateau, Delaunay
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Mathematical Subject Classification
Primary: 49J05, 76B45
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Authors
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