86 citations · 451 across the 95 of their papers we have counts for
10 papers · 2 filters
Sliding mode control for a generalization of the Caginalp phase-field system
Pierluigi Colli, Davide Manini
In the present paper, we present and solve the sliding mode control (SMC) problem for a second-order generalization of the Caginalp phase-field system. This generalization, inspire…
Asymptotic analysis of a tumor growth model with fractional operators
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we study a system of three evolutionary operator equations involving fractional powers of selfadjoint, monotone, unbounded, linear operators having compact resolvent…
Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system
Elena Bonetti, Pierluigi Colli, Luca Scarpa +1
In this paper we deal with a doubly nonlinear Cahn-Hilliard system, where both an internal constraint on the time derivative of the concentration and a potential for the concentrat…
On a transmission problem for equation and dynamic boundary condition of Cahn-Hilliard type with nonsmooth potentials
Pierluigi Colli, Takeshi Fukao, Hao Wu
This paper is concerned with well-posedness of the Cahn-Hilliard equation subject to a class of new dynamic boundary conditions. The system was recently derived in Liu-Wu (Arch. Ra…
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Cytotoxic chemotherapy is a common treatment for advanced prostate cancer. These tumors are also known to rely on angiogenesis, i.e., the growth of local microvasculature via chemi…
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials
Pierluigi Colli, Andrea Signori, Jürgen Sprekels
A distributed optimal control problem for an extended model of phase field type for tumor growth is addressed. In this model, the chemotaxis effects are also taken into account. Th…