Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow
Differential Geometry
2026-03-10 v1
Abstract
We establish a sharp rate of convergence for a free-boundary curve shortening flow in a convex domain in which converges in finite time to a round half-point.
Cite
@article{arxiv.2603.06949,
title = {Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow},
author = {Theodora Bourni and Nathan Burns and Mat Langford},
journal= {arXiv preprint arXiv:2603.06949},
year = {2026}
}