Liquid Drops in a Viscous Fluid under the Influence of Gravity and Surface Tension.
Local existence and stability for a hyperbolic-elliptic system modeling two-phase reservoir flow.
Local well-posedness for a two-phase model with magnetic field and vacuum
This paper proves the local well-posedness of strong solutions to a two-phase model with magnetic field and vacuum in a bounded domain without the standard compatibility conditions.
Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system
We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids of the same density in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model. Moreover, diffusion of both components is taken into account. This leads to a coupled Navier-Stokes/Cahn-Hilliard system, which can describe the evolution of droplet formation and collision during the flow. We review some results on...