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Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities

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Abels, Helmut ; Depner, Daniel ; Garcke, Harald
Date of publication of this fulltext: 19 Dec 2011 10:06


We prove existence of weak solutions for a diffuse interface model for the ow of two viscous incompressible Newtonian fluids in a bounded domain in two and three space dimensions. In contrast to previous works, we study a new model recently developed by Abels, Garcke, and Grün for fluids with different densities, which leads to a solenoidal velocity field. The model is given by a ...


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