2 papers
math.AP2024
Convergence of the Nonlocal Allen-Cahn Equation to Mean Curvature Flow
Helmut Abels, Christoph Hurm, Maximilian Moser
We prove convergence of the nonlocal Allen-Cahn equation to mean curvature flow in the sharp interface limit, in the situation when the parameter corresponding to the kernel goes t…
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…