3 papers
math.AP2024
Stability of multiphase mean curvature flow beyond circular topology changes
Julian Fischer, Sebastian Hensel, Alice Marveggio +1
We prove a weak-strong uniqueness principle for varifold-BV solutions to planar multiphase mean curvature flow beyond a circular topology change: Assuming that there exists a class…
math.AP2024
Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
Christoph Hurm, Maximilian Moser
We consider a local Cahn-Hilliard-type model for tumor growth as well as a nonlocal model where, compared to the local system, the Laplacian in the equation for the chemical potent…
math.AP2021
Convergence rates for the Allen-Cahn equation with boundary contact energy: The non-perturbative regime
Sebastian Hensel, Maximilian Moser
We extend the recent rigorous convergence result of Abels and the second author (arXiv preprint 2105.08434) concerning convergence rates for solutions of the Allen-Cahn equation wi…