Display Abstract

Title A Proof of a Sharp Interface Limit for Compressible Phase Change Flows

Name Gabriele Witterstein
Country Germany
Email gw@ma.tum.de
Co-Author(s)
Submit Time 2014-02-28 17:05:02
Session
Special Session 39: Interfaces in fluid mechanics
Contents
We consider diffusive interface models describing compressible two-phase flows with a mass exchange. The equations consist of the compressible Navier-Stokes system coupled with the Allen-Cahn equation. We prove in the distributional sense the convergence to the corresponding sharp interface model in the one dimensional case. Here a small parameter $\delta>0$ is related to the interface thickness and in the limit a free boundary arises which in higher space dimensions is governed by the Gibbs-Thomson law.