Enrico Pasqualetto — Neckpinchhttps://neckpinch.com/authors/enrico-pasqualetto/New arXiv papers by Enrico Pasqualetto, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT A variational approach to the volume-preserving anisotropic mean curvature flow in 2Dhttps://neckpinch.com/papers/2508.03134/arxiv:2508.03134Tue, 05 Aug 2025 00:00:00 GMTAndrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto — In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We show that this algorithm can be used to prove the existence of classical solutions. Moreover, we prove that this algorithm converges to the global solution of the equation.Mean curvature flowVolume-preserving & constrained flowsAnisotropic & nonlocal flowsWeak & singular flowsLong-time existence & convergence