9 citations · 14 across the 24 of their papers we have counts for
5 papers · 2 filters
Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities
Helmut Abels, Harald Garcke, Andrea Poiatti
We analyze a diffuse interface model for multi-phase flows of incompressible, viscous Newtonian fluids with different densities. In the case of a bounded and sufficiently smoot…
Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states
Charles Elbar, Benoît Perthame, Andrea Poiatti +1
The link between compressible models of tissue growth and the Hele-Shaw free boundary problem of fluid mechanics has recently attracted a lot of attention. In most of these models,…
A phase-field system arising from multiscale modeling of thrombus biomechanics in blood vessels: local well-posedness in dimension two
Maurizio Grasselli, Andrea Poiatti
We consider a phase-field model which describes the interactions between the blood flow and the thrombus. The latter is supposed to be a viscoelastic material. The potential descri…
Multi-component conserved Allen-Cahn equations
Maurizio Grasselli, Andrea Poiatti
We consider a multi-component version of the conserved Allen-Cahn equation proposed by J. Rubinstein and P. Sternberg in 1992 as an alternative model for phase separation. In our c…
The 3D strict separation property for the nonlocal Cahn-Hilliard equation with singular potential
Andrea Poiatti
We consider the nonlocal Cahn-Hilliard equation with singular (logarithmic) potential and constant mobility in three-dimensional bounded domains and we establish the validity of th…