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Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy
Ciprian G. Gal, Andrea Giorgini, Maurizio Grasselli +1
We investigate the nonlocal version of the Abels-Garcke-Grün (AGG) system, which describes the motion of a mixture of two viscous incompressible fluids. This consists of the incomp…
On the Existence of Strong Solutions to the Cahn-Hilliard-Darcy system with mass source
Andrea Giorgini, Kei Fong Lam, Elisabetta Rocca +1
We study a diffuse interface model describing the evolution of the flow of a binary fluid in a Hele-Shaw cell. The model consists of a Cahn-Hilliard-Darcy (CHD) type system with tr…
Well-posedness of the two-dimensional Abels-Garcke-Grün model for two-phase flows with unmatched densities
Andrea Giorgini
We study the Abels-Garcke-Grün (AGG) model for a mixture of two viscous incompressible fluids with different densities. The AGG model consists of a Navier-Stokes-Cahn-Hilliard syst…
Well-posedness of a diffuse interface model for Hele-Shaw flows
Andrea Giorgini
We study a diffuse interface model describing the motion of two viscous fluids driven by the surface tension in a Hele-Shaw cell. The full system consists of the Cahn-Hilliard equa…