https://neckpinch.com/authors/clemens-ullrich/New arXiv papers by Clemens Ullrich, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2212.11939/arxiv:2212.11939Thu, 22 Dec 2022 00:00:00 GMTTim Laux, Kerrek Stinson, Clemens Ullrich — The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen-Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models, and prove convergence using relative entropy methods, which have recently proven to be a powerful tool in interface evolution problems. With the same relative entropy, we prove a weak-strong uniqueness result, which relies on the construction of gradient flow calibrations for our anisotropic energy functionals.Mean curvature flowAnisotropic & nonlocal flowsWeak & singular flowsStability & uniquenessPhase fields & multiphase flows