7 papers
An asymptotic analysis for a generalized Cahn-Hilliard system with fractional operators
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In the recent paper `Well-posedness and regularity for a generalized fractional Cahn-Hilliard system' (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 30 (2019), 437-478 -- see als…
Asymptotic analysis of a tumor growth model with fractional operators
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we study a system of three evolutionary operator equations involving fractional powers of selfadjoint, monotone, unbounded, linear operators having compact resolvent…
A distributed control problem for a fractional tumor growth model
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, the authors study the distributed optimal control of a system of three evolutionary equations involving fractional powers of three selfadjoint, monotone, unbounded l…
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials
Pierluigi Colli, Andrea Signori, Jürgen Sprekels
A distributed optimal control problem for an extended model of phase field type for tumor growth is addressed. In this model, the chemotaxis effects are also taken into account. Th…
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…
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…