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 $\epsilon >0$ tends to zero for well-prepared initial data as long as the lim…