Instability of the wet x soap film |
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Authors: | Kenneth Brakke Frank Morgan |
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Institution: | (1) Department of Mathematics, Susquehanna University, 17870 Selinsgrove, PA;(2) Department of Mathematics, Williams College, 01267 Williamstown, MA |
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Abstract: | For idealized, infinitely thin (“dry”) soap films, an Xis unstable, while for very thick (“wet”) soap films it is minimizing. We show that for soap films of relatively small but
positive wetness, the Xis unstable. Full stability diagrams for the constant liquid fraction case and the constant pressure case are generated. Analogous
questions about other singularities remain controversial. |
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Keywords: | |
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