Antonia Diana — Neckpinchhttps://neckpinch.com/authors/antonia-diana/New arXiv papers by Antonia Diana, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torushttps://neckpinch.com/papers/2305.11100/arxiv:2305.11100Thu, 18 May 2023 00:00:00 GMTDaniele De Gennaro, Antonia Diana, Andrea Kubin, Anna Kubin — We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting C^(1,1)-close to a strictly stable critical set of the perimeter E, exist for all times and converge to a translate of E exponentially fast as time goes to infinity.Mean curvature flowVolume-preserving & constrained flowsStability & uniquenessLong-time existence & convergence