86 citations · 270 across the 55 of their papers we have counts for
4 papers · 1 filter
Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
In this paper, we investigate optimal control problems for a nonlinear state system which constitutes a version of the Caginalp phase field system modeling nonisothermal phase tran…
On a Cahn-Hilliard system with source term and thermal memory
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
A nonisothermal phase field system of Cahn-Hilliard type is introduced and analyzed mathematically. The system constitutes an extension of the classical Caginalp model for nonisoth…
Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
We analyze a phase field model for tumor growth consisting of a Cahn-Hilliard-Brinkman system, ruling the evolution of the tumor mass, coupled with an advection-reaction-diffusion…
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…