Emanuele Spadaro — Neckpinchhttps://neckpinch.com/authors/emanuele-spadaro/New arXiv papers by Emanuele Spadaro, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensionshttps://neckpinch.com/papers/2112.13936/arxiv:2112.13936Mon, 27 Dec 2021 00:00:00 GMTVesa Julin, Massimiliano Morini, Marcello Ponsiglione, Emanuele Spadaro — We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set of finite perimeter, converge with exponential rate to a finite union of equally sized disjoint disks. A similar result is established also for the periodic two-phase Mullins-Sekerka flow.Mean curvature flowVolume-preserving & constrained flows