Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities
Author:
Affiliation:
1. Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
2. Graduate School of Mathematics, Nagoya University, Furocho Chikusaku, Nagoya, 464-8602, Japan
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference19 articles.
1. H. Abels.Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities, Comm. Math. Phys., 289 (2009), 45-73.
2. H. Abels, S. Bosia, M. Grasselli.Cahn-Hilliard equation with nonlocal singular free energies, Ann. Mat. Pura Appl., 194 (2015), 1071-1106.
3. H. Abels, D. Depner, H. Garcke.Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities, J. Math. Fluid Mech., 15 (2013), 453-480.
4. H. Abels, H. Garcke and G. Grün, Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities, Math. Models Methods Appl. Sci., 22 (2012), 1150013, 40 pp.
5. H. Abels, Y. Terasawa.Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies, Math. Methods Appl. Sci., 43 (2020), 3200-3219.
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