2 papers
math.AP2024
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…
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…