Local well-posedness of a quasi-incompressible two-phase flow

URN to cite this document:: urn:nbn:de:bvb:355-epub-446683
DOI to cite this document:: 10.5283/epub.44668

Abels, Helmut

; Weber, Josef

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Date of publication of this fulltext: 02 Feb 2021 14:43

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Abstract

We show well-posedness of a diffuse interface model for a two-phase flow of two viscous incompressible fluids with different densities locally in time. The model leads to an inhomogeneous Navier-Stokes/Cahn-Hilliard system with a solenoidal velocity field for the mixture, but a variable density of the fluid mixture in the Navier-Stokes type equation. We prove existence of strong solutions locally ...