https://neckpinch.com/authors/virginia-lorenzini/New arXiv papers by Virginia Lorenzini, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2601.04385/arxiv:2601.04385Wed, 07 Jan 2026 00:00:00 GMTGiovanni Bellettini, Virginia Lorenzini, Matteo Novaga, Riccardo Scala — We consider a fourth-order regularization of the curvature flow for an immersed plane curve with fixed boundary, using an elastica-type functional depending on a small positive parameter ε. We show that the approximating flow smoothly converges, as ε→ 0⁺, to the curvature flow of the curve with Dirichlet boundary conditions for all times before the first singularity of the limit flow.Other curvature flowsSingularitiesBoundaries & non-compact