86 citations · 484 across the 53 of their papers we have counts for
6 papers · 1 filter
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
S. Melchionna, E. Rocca
We discuss the sharp interface limit of a diffuse interface model for a coupled Cahn-Hilliard--Darcy system that models tumor growth when a certain parameter , relat…
Optimal boundary control of a simplified Ericksen--Leslie system for nematic liquid crystal flows in
C. Cavaterra, E. Rocca, H. Wu
In this paper, we investigate an optimal boundary control problem for a two dimensional simplified Ericksen--Leslie system modelling the incompressible nematic liquid crystal flows…
Optimal control of treatment time in a diffuse interface model of tumor growth
Harald Garcke, Kei-Fong Lam, Elisabetta Rocca
We consider an optimal control problem for a diffuse interface model of tumor growth. The state equations couples a Cahn-Hilliard equation and a reaction-diffusion equation, which…
A rigorous sharp interface limit of a diffuse interface model related to tumor growth
E. Rocca, R. Scala
In this paper we study the rigorous sharp interface limit of a diffuse interface model related to the dynamics of tumor growth, when a parameter , representing the interface thi…
Solvability of an unsaturated porous media flow problem with thermomechanical interaction
Bettina Albers, Pavel Krejci, Elisabetta Rocca
A PDE system consisting of the momentum balance, mass balance, and energy balance equations for displacement, capillary pressure, and temperature as a model for unsaturated fluid f…
Optimal distributed control of a diffuse interface model of tumor growth
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca +1
In this paper, a distributed optimal control problem is studied for a diffuse interface model of tumor growth which was proposed in [A. Hawkins-Daruud, K.G. van der Zee, J.T. Oden,…