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math.AP2023
Quantitative convergence of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow
Milan Kroemer, Tim Laux
We prove a quantitative convergence result of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow. The proof uses gradient flow calibrations and the relative…
math.AP2023
Generic level sets in mean curvature flow are BV solutions
Anton Ullrich, Tim Laux
We show that a generic levelset of the viscosity solution to mean curvature flow is a distributional solution in the framework of sets of finite perimeter by Luckhaus and Sturzenhe…