Abels, Helmut and Depner, Daniel and Garcke, Harald (2013) On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 30 (6). pp. 1175-1190. ISSN 0294-1449, 1873-1430
Full text not available from this repository. (Request a copy)Abstract
We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain by allowing for a degenerate mobility. The model has been developed by Abels, Garcke and Grun for fluids with different densities and leads to a solenoidal velocity field. It is given by a non-homogeneous Navier Stokes system with a modified convective term coupled to a Cahn-Hilliard system, such that an energy estimate is fulfilled which follows from the fact that the model is thermodynamically consistent. (C) 2013 Elsevier Masson SAS. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIFFUSE INTERFACE MODEL; ORDER-PARAMETER; FLUIDS; FLOW; Two-phase flow; Navier-Stokes equations; Diffuse interface model; Mixtures of viscous fluids; Cahn-Hilliard equation; Degenerate mobility |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Mar 2020 10:33 |
| Last Modified: | 26 Mar 2020 10:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15716 |
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