Showing 2024 · math.APShow all
2 papers · 2 filters
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
Convergence of a Convective Allen-Cahn Equation to a Transport Equation
Helmut Abels
We show convergence of solutions of a convective Allen-Cahn equation for a given smooth and divergence free velocity field to a transport equation for an evolving interface in the…