77 citations · 126 across the 12 of their papers we have counts for
15 papers
Nonlocal Cahn-Hilliard-Hele-Shaw systems with singular potential and degenerate mobility
Cecilia Cavaterra, Sergio Frigeri, Maurizio Grasselli
We study a Cahn-Hilliard-Hele-Shaw (or Cahn-Hilliard-Darcy) system for an incompressible mixture of two fluids. The relative concentration difference is governed by a convectiv…
Strong well-posedness and inverse identification problem of a non-local phase field tumor model with degenerate mobilities
S. Frigeri, K. F. Lam, A. Signori
We extend previous weak well-posedness results obtained in Frigeri et al. (2017) concerning a non-local variant of a diffuse interface tumor model proposed by Hawkins-Daarud et al.…
Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential
S. Frigeri, M. Grasselli, J. Sprekels
In this paper, we consider a two-dimensional diffuse interface model for the phase separation of an incompressible and isothermal binary fluid mixture with matched densities. This…
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials
Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca +1
We consider a model describing the evolution of a tumor inside a host tissue in terms of the parameters , (proliferating and dead cells, respectively), (cell velocit…
On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca
We study a non-local variant of a diffuse interface model proposed by Hawkins--Darrud et al. (2012) for tumour growth in the presence of a chemical species acting as nutrient. The…
Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities
Sergio Frigeri
We consider a diffuse interface model for an incompressible isothermal mixture of two viscous Newtonian fluids with different densities in a bounded domain in two or three space di…
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D
Sergio Frigeri, Elisabetta Rocca, Jürgen Sprekels
We study a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids coupling the Navier--Stokes system with a convective nonlocal Cahn--Hilliard equa…
On a diffuse interface model of tumor growth
Sergio Frigeri, Maurizio Grasselli, Elisabetta Rocca
We consider a diffuse interface model of tumor growth proposed by A.~Hawkins-Daruud et al. This model consists of the Cahn-Hilliard equation for the tumor cell fraction nonline…
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions
Sergio Frigeri, Ciprian G. Gal, Maurizio Grasselli
We consider a diffuse interface model which describes the motion of an incompressible isothermal mixture of two immiscible fluids. This model consists of the Navier-Stokes equation…
A diffuse interface model for two-phase incompressible flows with nonlocal interactions and nonconstant mobility
Sergio Frigeri, Maurizio Grasselli, Elisabetta Rocca
We consider a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids with matched constant densities. This model consists of the Navier-Stokes syst…
Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems
Sergio Frigeri, Maurizio Grasselli, Pavel Krejčí
A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard eq…
Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D
Sergio Frigeri, Elisabetta Rocca
In this paper we prove the existence of a trajectory attractor (in the sense of V.V. Chepyzhov and M.I. Vishik) for a nonlinear PDE system coming from a 3D liquid crystal model acc…
Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
Sergio Frigeri, Maurizio Grasselli
Here we consider a Cahn-Hilliard-Navier-Stokes system characterized by a nonlocal Cahn-Hilliard equation with a singular (e.g., logarithmic) potential. This system originates from…
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Sergio Frigeri, Maurizio Grasselli
The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonl…
Global Existence of Weak Solutions to a Nonlocal Cahn-Hilliard-Navier-Stokes System
Pierluigi Colli, Sergio Frigeri, Maurizio Grasselli
A well-known diffuse interface model consists of the Navier-Stokes equations nonlinearly coupled with a convective Cahn-Hilliard type equation. This system describes the evolution…