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- W3098183438 abstract "To study the singularities that appear in mean curvature flow, one must understand self-shrinkers, surfaces that shrink by dilations under mean curvature flow. The simplest examples of self-shrinkers are spheres and cylinders. In 1989, Angenent constructed the first nontrivial example of a self-shrinker, a torus. A key quantity in the study of the formation of singularities is the entropy, defined by Colding and Minicozzi based on work of Huisken. The values of the entropy of spheres and cylinders have explicit formulas, but there is no known formula for the entropy of the Angenent torus. In this work, we numerically estimate the entropy of the Angenent torus using the discrete Euler-Lagrange equations." @default.
- W3098183438 created "2020-11-23" @default.
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- W3098183438 date "2019-04-23" @default.
- W3098183438 modified "2023-10-14" @default.
- W3098183438 title "The Entropy of the Angenent Torus is Approximately 1.85122" @default.
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- W3098183438 doi "https://doi.org/10.1080/10586458.2019.1583616" @default.
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