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20082026
most citedOptimal distributed control of a diffuse interface model of tumor growth

86 citations · 270 across the 55 of their papers we have counts for

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Showing 2017 · math.APShow all

6 papers · 2 filters

math.AP2017★ 18 cited

Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach

Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels

In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separa…

math.AP2017

Optimal control for a conserved phase field system with a possibly singular potential

P. Colli, G. Gilardi, G. Marinoschi +1

In this paper we study a distributed control problem for a phase-field system of conserved type with a possibly singular potential. We mainly handle two cases: the case of a viscou…

math.AP2017

Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions

Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels

In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separa…

math.AP2017

Sliding mode control for a phase field system related to tumor growth

Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1

In the present contribution we study the sliding mode control (SMC) problem for a diffuse interface tumor growth model coupling a viscous Cahn-Hilliard type equation for the phase…

math.AP2017

On a Cahn-Hilliard system with convection and dynamic boundary conditions

Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels

This paper deals with an initial and boundary value problem for a system coupling equation and boundary condition both of Cahn-Hilliard type; an additional convective term with a f…

math.AP2017

Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions

Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels

This note is concerned with a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by boundary and…