42 citations · 77 across the 10 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AP2020
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…
math.AP2020
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…
math.AP2020★ 15 cited
On the Mass-Conserving Allen-Cahn Approximation for Incompressible Binary Fluids
Andrea Giorgini, Maurizio Grasselli, Hao Wu
This paper is devoted to the global well-posedness of two Diffuse Interface systems modeling the motion of an incompressible two-phase fluid mixture in presence of capillarity effe…