https://neckpinch.com/authors/lorenzo-sarnataro/New arXiv papers by Lorenzo Sarnataro, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2610.09557/arxiv:2610.09557Wed, 07 Oct 2026 00:00:00 GMTYueheng Bao, Lorenzo Sarnataro — We provide an alternative and independent proof of the analogue of the Gage-Hamilton-Grayson Theorem for embedded free boundary curve shortening flows in a convex planar domain established by Langford-Zhu. Our proof is based on blowup arguments introduced by B. White in his work on mean-convex mean curvature flow.Mean curvature flowCurve shorteningSingularitiesFree boundary & capillary