86 citations · 451 across the 95 of their papers we have counts for
9 papers · 1 filter
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity
Elena Bonetti, Pierluigi Colli, Luca Scarpa +1
In this paper we discuss a family of viscous Cahn-Hilliard equations with a non-smooth viscosity term. This system may be viewed as an approximation of a "forward-backward" parabol…
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separa…
Optimal control for a conserved phase field system with a possibly singular potential
P. Colli, G. Gilardi, G. Marinoschi +1
In this paper we study a distributed control problem for a phase-field system of conserved type with a possibly singular potential. We mainly handle two cases: the case of a viscou…
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separa…
Global existence for a singular phase field system related to a sliding mode control problem
Pierluigi Colli, Michele Colturato
In the present contribution we consider a singular phase field system located in a smooth and bounded three-dimensional domain. The entropy balance equation is perturbed by a logar…
Sliding mode control for a phase field system related to tumor growth
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1
In the present contribution we study the sliding mode control (SMC) problem for a diffuse interface tumor growth model coupling a viscous Cahn-Hilliard type equation for the phase…