Daniel Restrepo — Neckpinchhttps://neckpinch.com/authors/daniel-restrepo/New arXiv papers by Daniel Restrepo, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT Asymptotic behavior of a diffused interface volume-preserving mean curvature flowhttps://neckpinch.com/papers/2407.18868/arxiv:2407.18868Fri, 26 Jul 2024 00:00:00 GMTMatteo Bonforte, Francesco Maggi, Daniel Restrepo — We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single "diffused balls".Mean curvature flowVolume-preserving & constrained flowsLong-time existence & convergence