86 citations · 270 across the 55 of their papers we have counts for
6 papers · 2 filters
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
The paper arXiv:1804.11290 contains well-posedness and regularity results for a system of evolutionary operator equations having the structure of a Cahn-Hilliard system. The operat…
Stabilization of a linearized Cahn-Hilliard system for phase separation by proportional boundary feedbacks
Pierluigi Colli, Gianni Gilardi, Ionut Munteanu
This work represents a first contribution on the problem of boundary stabilization for the phase field system of Cahn-Hilliard type, which models the phase separation in a binary m…
Optimal distributed control of a generalized fractional Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In the recent paper `Well-posedness and regularity for a generalized fractional Cahn-Hilliard system' (arXiv:1804.11290) by the same authors, general well-posedness results have be…
Well-posedness, regularity and asymptotic analyses for a fractional phase field system
Pierluigi Colli, Gianni Gilardi
This paper is concerned with a non-conserved phase field system of Caginalp type in which the main operators are fractional versions of two fixed linear operators and . The…
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we investigate a rather general system of two operator equations that has the structure of a viscous or nonviscous Cahn--Hilliard system in which nonlinearities of d…
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in a three-dimensional domain containing a fluid flow of given velocity. This proce…