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.

Detaylı Bibliyografya
Asıl Yazarlar: Zhang, Y, Olson, C, Khan, I, Angenent, S
Materyal Türü: Journal article
Dil:English
Baskı/Yayın Bilgisi: American Mathematical Society 2023