86 citations · 451 across the 95 of their papers we have counts for
9 papers · 2 filters
Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary
Pierluigi Colli, Takeshi Fukao
The well-known Cahn-Hilliard equation entails mass conservation if a suitable boundary condition is prescribed. In the case when the equation is also coupled with a dynamic boundar…
Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition
Pierluigi Colli, M. Hassan Farshbaf-Shaker, Gianni Gilardi +1
In this paper we establish second-order sufficient optimality conditions for a boundary control problem that has been introduced and studied by three of the authors in the preprint…
Optimal control for a phase field system with a possibly singular potential
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1
In this paper we study a distributed control problem for a phase field system of Caginalp type with logarithmic potential. The main aim of this work would be to force the location…
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials
Pierluigi Colli, M. Hassan Farshbaf-Shaker, Gianni Gilardi +1
In this paper, we investigate optimal boundary control problems for Cahn-Hilliard variational inequalities with a dynamic boundary condition involving double obstacle potentials an…
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first order necessary conditions…
The Allen-Cahn equation with dynamic boundary conditions and mass constraints
Pierluigi Colli, Takeshi Fukao
The Allen-Cahn equation, coupled with dynamic boundary conditions, has recently received a good deal of attention. The new issue of this paper is the setting of a rather general ma…