Abels, Helmut and Terasawa, Yutaka (2020) Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 43 (6). pp. 3200-3219. ISSN 0170-4214, 1099-1476
Full text not available from this repository. (Request a copy)Abstract
We consider a diffuse interface model for the flow of two viscous incompressible Newtonian fluids with different densities in a bounded domain in two and three space dimensions and prove existence of weak solutions for it. In contrast to earlier contributions, we study a model with a singular nonlocal free energy, which controls the H-alpha/2-norm of the volume fraction. We show existence of weak solutions for large times with the aid of an implicit time discretization.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PHASE SEGREGATION DYNAMICS; LONG-RANGE INTERACTIONS; CAHN-HILLIARD EQUATION; PARTICLE-SYSTEMS; CONVERGENCE; EXISTENCE; Cahn-Hilliard equation; diffuse interface model; mixtures of viscous fluids; Navier-Stokes equation; nonlocal operators; two-phase flow |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Apr 2021 09:02 |
| Last Modified: | 01 Apr 2021 09:02 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45328 |
Actions (login required)
 |
View Item |
