Mathematisches Kolloquium
Am Freitag, 12. November 2010, um 16 Uhr c.t. spricht
Prof. Dr. Helmut Abels
(Universität Regensburg)
im Hörsaal A027 über das Thema
Diffuse Interface Models for Viscous Two-Phase Flows
Zusammenfassung: We discuss so-called "diffuse interface models for the flow of two viscous incompressible Newtonian fluids in a bound domain. Such models were introduced to describe the flow when singularities in the interface, which separates the fluids, (droplet formation/coalescence) occur. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model. Moreover, diffusion of both components is taken into account. We discuss analytic results concerning well-posedness in the case of fluids with the same and with different densities. In the case of same densities the result are comparable with the results for a single Newtonian vicous fluid described by the Navier-Stokes equation. In the case of diffent densities several diffuse interface models exists. We will briefly discuss the differences of these models and the related analytic results.
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