Convex ancient solutions to curve shortening flow

By T. Bourni, Mathew T. Langford, G. Tinaglia. Calculus of Variations and Partial Differential Equations, 2019

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We show that the only convex ancient solutions to curve shortening flow are the stationary lines, shrinking circles, Grim Reapers and Angenent ovals, completing the classification initiated by Daskalopoulos, Hamilton and Šešum and X.-J. Wang.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/35d162e91cbfdffccfe338db69ddc79b8f746501