77 citations · 227 across the 35 of their papers we have counts for
42 papers
Analysis of a Navier-Stokes phase-field crystal system
Cecilia Cavaterra, Maurizio Grasselli, Muhammed Ali Mehmood +1
We consider an evolution system modeling a flow of colloidal particles which are suspended in an incompressible fluid and accounts for colloidal crystallization. The system consist…
Optimal Distributed Control for a Cahn-Hilliard-Darcy System with Mass Sources, Unmatched Viscosities and Singular Potential
Marco Abatangelo, Cecilia Cavaterra, Maurizio Grasselli +1
We study a Cahn-Hilliard-Darcy system with mass sources, which can be considered as a basic, though simplified, diffuse interface model for the evolution of tumor growth. This syst…
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…
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…
A stochastic Allen-Cahn-Navier-Stokes system with singular potential
Andrea Di Primio, Maurizio Grasselli, Luca Scarpa
We investigate a stochastic version of the Allen-Cahn-Navier-Stokes system in a smooth two- or three-dimensional domain with random initial data. The system consists of a Navier-St…