activity
20082026
most citedOptimal distributed control of a diffuse interface model of tumor growth

86 citations · 270 across the 55 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

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.OC2023

Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model

Gianni Gilardi, Andrea Signori, Jürgen Sprekels

In this paper, we address a distributed control problem for a system of partial differential equations describing the evolution of a tumor that takes the biological mechanism of ch…

math.OC2023★ 1 cited

Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion

Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi

In this paper, we explore the solvability and the optimal control problem for a compartmental model based on reaction-diffusion partial differential equations describing a transmis…

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.OC2023

Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential

Pierluigi Colli, Gianni Gilardi, Andrea Signori +1

In this note, we study the optimal control of a nonisothermal phase field system of Cahn-Hilliard type that constitutes an extension of the classical Caginalp model for nonisotherm…

math.OC2023

Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term

Pierluigi Colli, Gianni Gilardi, Andrea Signori +1

In this note, we study the optimal control of a nonisothermal phase field system of Cahn-Hilliard type that constitutes an extension of the classical Caginalp model for nonisotherm…