Abels, Helmut and Diening, Lars and Terasawa, Yutaka (2014) Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 15. pp. 149-157. ISSN 1468-1218,
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We consider a phase field model for the flow of two partly miscible incompressible, viscous fluids of non-Newtonian (power law) type. In the model it is assumed that the densities of the fluids are equal. We prove the existence of weak solutions for general initial data and arbitrarily large times with the aid of a parabolic Lipschitz truncation method, which preserves solenoidal velocity fields and was recently developed by Breit, Diening, and Schwarzacher. (C) 2013 Elsevier Ltd. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ORDER-PARAMETER; FLUIDS; SHEAR; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Dec 2019 09:07 |
| Last Modified: | 04 Dec 2019 09:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/11145 |
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