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On sharp interface limits for diffuse interface models for two-phase flows

URN to cite this document:
urn:nbn:de:bvb:355-epub-345068
Abels, Helmut ; Lengeler, Daniel
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Date of publication of this fulltext: 05 Sep 2016 08:39


Abstract

We discuss the sharp interface limit of a diffuse interface model for a two-phase flow of two partly miscible viscous Newtonian fluids of different densities, when a certain parameter ϵ>0 related to the interface thickness tends to zero. In the case that the mobility stays positive or tends to zero slower than linearly in ϵ we will prove that weak solutions tend to varifold solutions of a ...

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