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Chen S. Classifying convex compact ancient solutions to the affine curve shortening flow[J]. Journal of Geometric Analysis, 2013, 25(2): 1075-1079.
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Robert Haslhofer · Or Hershkovits. Ancient solutions of the mean curvature flow. 2013.
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Paul Bryan · Janelle Louie. Classification of Convex Ancient Solutions to Curve Shortening Flow on the Sphere. 2014.
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Shibing Chen. Convex solutions to the power-of-mean curvature flow. 2012.
We consider an embedded convex compact ancient solution t to the curve shortening flow in R2. We prove that t is either a
family of contracting circles, which is a type I ancient solution, or a family of evolving Angenent ovals, which is of type II.