2 papers
math.AP2023
Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System in the Case of a Vanishing Mobility
Helmut Abels, Mingwen Fei, Maximilian Moser
We consider the sharp interface limit of a Navier-Stokes/Allen Cahn equation in a bounded smooth domain in two space dimensions, in the case of vanishing mobility $m_\varepsilon=\s…
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…