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Geodesics,soap bubbles and pattern formation in riemannian surfaces |
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| Authors: | H del Rio Guerra C E Garza-Hume P Padilla |
| Institution: | (1) Centro de Investigación en Matemáticas, Guanajuato, México;(2) Department of Mathematics and Mechanics, IIMAS, UNAM, México |
| Abstract: | We study a singularly perturbed semi-linear elliptic PDE with a bistable potential on a closed Riemannian surface. We show that the transition region converges in the sense of varifolds to an embedded (multiple) curve with constant geodesic curvature. |
| Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 49Q20 35J60 53C21 |
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