Nonconvex ancient solutions to Curve Shortening Flow
Differential Geometry
2023-02-24 v3 Analysis of PDEs
Abstract
We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle , and closed off by a small copy of the Grim Reaper translating soliton.
Keywords
Cite
@article{arxiv.2204.05253,
title = {Nonconvex ancient solutions to Curve Shortening Flow},
author = {Yongzhe Zhang and Connor Olson and Ilyas Khan and Sigurd Angenent},
journal= {arXiv preprint arXiv:2204.05253},
year = {2023}
}
Comments
The same result was independently obtained by Charyyev, J. in arXiv:2204.05978