42 citations · 77 across the 10 of their papers we have counts for
13 papers
On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions
Andrea Giorgini
In this note, we consider the nonlocal Cahn-Hilliard equation with constant mobility and singular potential in three dimensional bounded and smooth domains. Given any global soluti…
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics
Giulia Bevilacqua, Andrea Giorgini
We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the…
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…
Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities
Helmut Abels, Harald Garcke, Andrea Giorgini
We study an initial-boundary value problem for the incompressible Navier-Stokes-Cahn-Hilliard system with non-constant density proposed by Abels, Garcke and Grün in 2012. This mode…
Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions
Andrea Giorgini, Patrik Knopf
We derive a novel thermodynamically consistent Navier--Stokes--Cahn--Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible bin…
Existence and Stability of Strong Solutions to the Abels-Garcke-Grün model in Three Dimensions
Andrea Giorgini
This work is devoted to the analysis of strong solutions to the Abels-Garcke-Grün (AGG) model in three dimensions. First, we prove the existence of local-in-time strong solutions o…
Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
Yu Cao, Andrea Giorgini, Michael Jolly +1
We analyze continuous data assimilation by nudging for the 3D Ladyzhenskaya equations. The analysis provides conditions on the spatial resolution of the observed data that guarante…
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…
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…
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…
Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
Andrea Giorgini, Alain Miranville, Roger Temam
The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes e…
Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
Francesco Di Plinio, Andrea Giorgini, Vittorino Pata +1
We consider a Navier-Stokes-Voigt fluid model where the instantaneous kinematic viscosity has been completely replaced by a memory term incorporating hereditary effects, in presenc…