77 citations · 150 across the 27 of their papers we have counts for
5 papers · 1 filter
Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model
Gianni Gilardi, Andrea Signori, Jürgen Sprekels
In this paper, we address a distributed control problem for a system of partial differential equations describing the evolution of a tumor that takes the biological mechanism of ch…
Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential
Jürgen Sprekels, Fredi Tröltzsch
This paper treats a distributed optimal control problem for a tumor growth model of viscous Cahn--Hilliard type. The evolution of the tumor fraction is governed by a thermodynamic…
Second-order sufficient conditions for sparse optimal control of singular Allen--Cahn systems with dynamic boundary conditions
Jürgen Sprekels, Fredi Tröltzsch
In this paper we study the optimal control of a parabolic initial-boundary value problem of Allen--Cahn type with dynamic boundary conditions. Phase field systems of this type gove…
Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
In this note, we study the optimal control of a nonisothermal phase field system of Cahn-Hilliard type that constitutes an extension of the classical Caginalp model for nonisotherm…
Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
In this note, we study the optimal control of a nonisothermal phase field system of Cahn-Hilliard type that constitutes an extension of the classical Caginalp model for nonisotherm…