Abels, Helmut and Depner, Daniel and Garcke, Harald (2013) Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 15 (3). pp. 453-480. ISSN 1422-6928, 1422-6952
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We prove existence of weak solutions for a diffuse interface model for the flow 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 et al. for fluids with different densities, which leads to a solenoidal velocity field. The model is given by a non-homogeneous Navier-Stokes system with a modified convective term coupled to a Cahn-Hilliard system. The density of the mixture depends on an order parameter.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Two-phase flow; Navier-Stokes equation; Diffuse interface model; Mixtures of viscous fluids; Cahn-Hilliard equation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Apr 2020 13:08 |
| Last Modified: | 02 Apr 2020 13:08 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16203 |
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