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The shape of a figure-eight under the curve shortening flow

โœ Scribed by Matthew A. Grayson


Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
186 KB
Volume
96
Category
Article
ISSN
0020-9910

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A semi-Lagrangian scheme for the curve s
โœ E. Carlini; M. Falcone; R. Ferretti ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 766 KB

We consider the model problem where a curve in R 3 moves according to the mean curvature flow (the curve shortening flow). We construct a semi-Lagrangian scheme based on the Feynman-Kac representation formula of the solutions of the related level set geometric equation. The first step is to obtain a