Abels, Helmut and Breit, Dominic (2016) Weak solutions for a non-Newtonian diffuse interface model with different densities. NONLINEARITY, 29 (11). pp. 3426-3453. ISSN 0951-7715, 1361-6544
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We consider weak solutions for a diffuse interface model of two non-Newtonian viscous, incompressible fluids of power-law type in the case of different densities in a bounded, sufficiently smooth domain. This leads to a coupled system of a nonhomogenouos generalized Navier-Stokes system and a Cahn-Hilliard equation. For the Cahn-Hilliard part a smooth free energy density and a constant, positive mobility is assumed. Using the L-infinity-truncation method we prove existence of weak solutions for a power-law exponent p > 2d+2/d+2, d=2, 3.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SHEAR-DEPENDENT VISCOSITY; INCOMPRESSIBLE FLUIDS; LIPSCHITZ TRUNCATION; 2-PHASE FLOWS; STEADY FLOWS; EXISTENCE; SYSTEM; two-phase flow; diffuse interface model; non-Newtonian fluids; Cahn-Hilliard equation; L-infinity-truncation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Apr 2019 08:10 |
| Last Modified: | 24 Apr 2019 08:10 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4069 |
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