Nonconvex ancient solutions to curve shortening flow
Published in Tran. Amer. Math. Soc., 2023
Abstract: We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For $t\ll0$ it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle $\alpha(t)=−t$, and closed off by a small copy of the Grim Reaper translating soliton.
Recommended citation: Zhang, Y., Olson, C., Khan, I., & Angenent, S. (2023). Nonconvex ancient solutions to curve shortening flow. Trans. Am. Math. Soc.
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