77 citations · 150 across the 27 of their papers we have counts for
3 papers · 2 filters
A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary condition and double obstacle potentials
Pierluigi Colli, M. Hassan Farshbaf-Shaker, Jürgen Sprekels
In this paper, we investigate optimal control problems for Allen-Cahn variational inequalities with a dynamic boundary condition involving double obstacle potentials and the Laplac…
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Pavel Krejčí +2
In this paper we propose a time discretization of a system of two parabolic equations describing diffusion-driven atom rearrangement in crystalline matter. The equations express th…
Regularity of the solution to a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
A nonstandard system of differential equations describing two-species phase segregation is considered. This system naturally arises in the asymptotic analysis recently done by Coll…