Pascal Steinke — Neckpinchhttps://neckpinch.com/authors/pascal-steinke/New arXiv papers by Pascal Steinke, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT Convergence of Allen-Cahn equations to De Giorgi's multiphase mean curvature flowhttps://neckpinch.com/papers/2301.12237/arxiv:2301.12237Sat, 28 Jan 2023 00:00:00 GMTPascal Steinke — This paper presents a conditional convergence result of solutions to the Allen–Cahn equation with arbitrary potentials to a De Giorgi type BV-solution to multiphase mean curvature flow. Moreover we show that De Giorgi type BV-solutions are De Giorgi type varifold solutions, and thus our solution is unique in a weak-strong sense.Mean curvature flowWeak & singular flowsPhase fields & multiphase flows