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

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Abels, Helmut ; Weber, Josef
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Date of publication of this fulltext: 02 Feb 2021 14:43


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 ...


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