86 citations · 270 across the 55 of their papers we have counts for
72 papers
Optimal velocity control of a Brinkman-Cahn-Hilliard system with curvature effects
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
We address an optimal control problem governed by a system coupling a Brinkman-type momentum equation for the velocity field with a sixth-order Cahn-Hilliard equation for the phase…
On Brinkman flows with curvature-induced phase separation in binary mixtures
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
The mathematical analysis of diffuse-interface models for multiphase flows has attracted significant attention due to their ability to capture complex interfacial dynamics, includi…
Hyperbolic relaxation of a sixth-order Cahn-Hilliard equation
Pierluigi Colli, Gianni Gilardi
This work explores the solvability of a sixth-order Cahn--Hilliard equation with an inertial term, which serves as a relaxation of a higher-order variant of the classical Cahn--Hil…
Solvability and optimal control of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
This paper investigates an optimal control problem associated with a two-dimensional multi-species Cahn-Hilliard-Keller-Segel tumor growth model, which incorporates complex biologi…
Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
This work investigates the well-posedness and optimal control of a sixth-order Cahn-Hilliard equation, a higher-order variant of the celebrated and well-established Cahn-Hilliard e…
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.…