Global Quasi-strong Solutions to the Voigt Regularization of a Diffuse Interface Model for Incompressible Two-phase Flows with Bulk-surface Interaction
We analyze a thermodynamically consistent diffuse interface model for incompressible two-phase viscous flows with unmatched densities in a smooth bounded domain $\Omega\subset\mathbb{R}^d$ $(d=2,3)$. This model consists of the Navier-Stokes-Voigt equations for the velocity field and a convective Cahn-Hilliard equation...