https://neckpinch.com/authors/alvaro-pampano/New arXiv papers by Alvaro Pampano, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2211.04603/arxiv:2211.04603Tue, 08 Nov 2022 00:00:00 GMTAlvaro Pampano — We study translating soliton solutions to the flow by powers of the curvature of curves in the plane. We characterize these solitons as critical curves for functionals depending on the curvature. More precisely, translating solitons to the flow by powers of the curvature are shown to be generalized elastic curves. In particular, focusing on the curve shortening flow, we deduce a new variational characterization of the grim reaper curve.Curve shorteningSelf-shrinkers & translators