5 papers · 1 filter
Convergence properties for a generalization of the Caginalp phase field system
Giacomo Canevari, Pierluigi Colli
We are concerned with a phase field system consisting of two partial differential equations in terms of the variables thermal displacement, that is basically the time integration o…
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…
A phase-field approximation of the Willmore flow with volume and area constraints
Pierluigi Colli, Philippe Laurencot
The well-posedness of a phase-field approximation to the Willmore flow with area and volume constraints is established when the functional approximating the area has no critical po…
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…
A temperature-dependent phase segregation problem of the Allen-Cahn type
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
In this paper we prove a local-in-time existence theorem for an initial-boundary value problem related to a model of temperature-dependent phase segregation that generalizes the st…