Rufat Badal — Neckpinchhttps://neckpinch.com/authors/rufat-badal/New arXiv papers by Rufat Badal, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Curve-shortening flow of open, elastic curves in ℝ² with repelling endpoints: A minimizing movement approachhttps://neckpinch.com/papers/1902.08079/arxiv:1902.08079Thu, 21 Feb 2019 00:00:00 GMTRufat Badal — We study an L²-type gradient flow of an immersed elastic curve in ℝ² whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movements scheme we prove long-time existence of the flow. The work is complemented by several numerical experiments.Curve shorteningWeak & singular flowsLong-time existence & convergenceNumerics & visualization