A criterion on instability of cylindrical rotating surfaces |
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| Authors: | Rafael López |
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| Affiliation: | (1) Department of Mathematics, Nara Women’s University, Nara 630-8506, Japan;(2) Department of Mathematics, Idaho State University, Pocatello, ID 83209, USA |
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| Abstract: | We consider a column of a stationary rotating surface in Euclidean space. In this paper we obtain a value l 0 > 0 in such a way that if the length l of the column satisfies l > l 0, then the surface is instable. This extends previous results due to Plateau and Rayleigh for columns of surfaces with constant mean curvature. |
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