86 citations · 451 across the 95 of their papers we have counts for
9 papers · 2 filters
On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
This paper investigates a nonlocal version of a model for phase separation on an atomic lattice that was introduced by P. Podio-Guidugli in Ric. Mat. 55 (2006) 105-118. The model c…
A non-smooth regularization of a forward-backward parabolic equation
Elena Bonetti, Pierluigi Colli, Giuseppe Tomassetti
In this paper we introduce a model describing diffusion of species by a suitable regularization of a "forward-backward" parabolic equation. In particular, we prove existence and un…
Sliding mode control for a nonlinear phase-field system
Viorel Barbu, Pierluigi Colli, Gianni Gilardi +2
In the present contribution the sliding mode control (SMC) problem for a phase-field model of Caginalp type is considered. First we prove the well-posedness and some regularity res…
Existence of solutions for a model of microwave heating
Pierluigi Colli, Luca Scarpa
This paper is concerned with a system of differential equations related to a circuit model for microwave heating, complemented by suitable initial and boundary conditions. A RCL ci…
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
A boundary control problem for the pure Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions fo…
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca +1
This paper is concerned with a phase field system of Cahn-Hilliard type that is related to a tumor growth model and consists of three equations in terms of the variables order para…