3 papers
math.AP2026
Higher Order Convergence for the Sharp Interface Limit of 3D Navier--Stokes/Allen--Cahn Systems
Helmut Abels, Mingwen Fei, Yadong Liu +1
We show convergence of solutions to a Navier--Stokes/Allen--Cahn system as the interfacial thickness tends to zero for well-prepared initial data as long as the lim…
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.AP2023
Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System
Helmut Abels, Julian Fischer, Maximilian Moser
We show convergence of the Navier-Stokes/Allen-Cahn system to a classical sharp interface model for the two-phase flow of two viscous incompressible fluids with same viscosities in…