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.

書誌詳細
主要な著者: Zhang, Y, Olson, C, Khan, I, Angenent, S
フォーマット: Journal article
言語:English
出版事項: American Mathematical Society 2023