65 citations · 185 across the 24 of their papers we have counts for
8 papers · 1 filter
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…
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
Existence and uniqueness are investigated for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemente…
Global existence for a strongly coupled Cahn-Hilliard system with viscosity
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
An existence result is proved for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann…
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
This paper is concerned with a diffusion model of phase-field type, consisting of a parabolic system of two partial differential equations, interpreted as balances of microforces a…
Distributed optimal control of a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the…
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns…