Nonconvex ancient solutions to curve shortening flow

Nonconvex ancient solutions to curve shortening flow

We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For t ≪ 0 it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle α(t) = −t, and closed off by a small copy of the Grim Reaper translating soliton.

Bibliografiske detaljer
Main Authors:	Zhang, Y, Olson, C, Khan, I, Angenent, S
Format:	Journal article
Sprog:	English
Udgivet:	American Mathematical Society 2023

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