77 citations · 150 across the 27 of their papers we have counts for
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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 distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D
Sergio Frigeri, Elisabetta Rocca, Jürgen Sprekels
We study a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids coupling the Navier--Stokes system with a convective nonlocal Cahn--Hilliard equa…
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…
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
The Cahn-Hilliard and viscous Cahn-Hilliard equations with singular and possibly nonsmooth potentials and dynamic boundary condition are considered and some well-posedness and regu…