Weak and very weak solutions to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains
Author:
Funder
One U.P. Faculty Grant
Publisher
Springer Science and Business Media LLC
Subject
Mathematics (miscellaneous)
Link
https://link.springer.com/content/pdf/10.1007/s00028-022-00765-y.pdf
Reference68 articles.
1. H. Abels. Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities. Comm. Math. Phys., 289:45–73, 2009. https://doi.org/10.1007/s00220-009-0806-4.
2. H. Abels. On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Arch. Ration. Mech. Anal., 194:463–506, 2009. https://doi.org/10.1007/s00205-008-0160-2.
3. H. Abels, D. Depner, and 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., 15:453–480, 2013. https://doi.org/10.1007/s00021-012-0118-x.
4. H. Abels, D. Depner, and H. Garcke. On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility. Ann. Inst. H. Poincaré Anal. Non Linéaire, 30:1175–1190, 2013. https://doi.org/10.1016/j.anihpc.2013.01.002.
5. H. Abels and M. Wilke. Convergence to equilibrium for the Cahn–Hilliard equation with a logarithmic free energy. Nonlinear Anal., 67:3176–3193, 2007. https://doi.org/10.1016/j.na.2006.10.002.
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