activity
20112020
most citedOn a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities

12 citations · 12 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2020

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.…

math.AP2018

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…

math.AP2017

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…

math.AP201712 cited

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…

math.AP2015

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…

math.AP2013

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…