most citedBV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness

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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.AP2021★ 2 cited

BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness

Sebastian Hensel, Tim Laux

We study weak solutions to mean curvature flow satisfying Young's angle condition for general contact angles . First, we construct BV solutions using the Allen-Cahn app…