activity
20082023
most citedOptimal distributed control of a diffuse interface model of tumor growth

86 citations · 484 across the 53 of their papers we have counts for

collaborators

70 papers

math.AP2023

Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions

Gianni Gilardi, Elisabetta Rocca, Andrea Signori

In this paper we consider a nonlinear system of PDEs coupling the viscous Cahn-Hilliard-Oono equation with dynamic boundary conditions enjoying a similar structure on the boundary.…

math.AP2023

Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential

Abramo Agosti, Elisabetta Rocca, Luca Scarpa

In this paper we study a non-local Cahn-Hilliard equation with singular single-well potential and degenerate mobility. This results as a particular case of a more general model der…

math.OC2023★ 2 cited

Optimal control of a reaction-diffusion model related to the spread of COVID-19

Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1

This paper is concerned with the well-posedness and optimal control problem of a reaction-diffusion system for an epidemic Susceptible-Infected-Recovered-Susceptible (SIRS) mathema…

math.AP2023

A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains

Abramo Agosti, Pierluigi Colli, Harald Garcke +1

We propose a new Cahn-Hilliard phase field model coupled to incompressible viscoelasticity at large strains, obtained from a diffuse interface mixture model and formulated in the E…

math.AP2022

A Cahn-Hilliard model coupled to viscoelasticity with large deformations

Abramo Agosti, Pierluigi Colli, Harald Garcke +1

We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic pr…

math.AP2022★ 7 cited

Well-posedness for a diffusion-reaction compartmental model simulating the spread of COVID-19

Ferdinando Auricchio, Pierluigi Colli, Gianni Gilardi +2

This paper is concerned with the well-posedness of a diffusion-reaction system for a Susceptible-Exposed-Infected-Recovered (SEIR) mathematical model. This model is written in term…