39 citations · 41 across the 6 of their papers we have counts for
7 papers
Analysis of a tumor model as a multicomponent deformable porous medium
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equatio…
Optimal Distributed Control of a Cahn-Hilliard-Darcy System with Mass Sources
Juergen Sprekels, Hao Wu
In this paper, we study an optimal control problem for a two-dimensional Cahn-Hilliard-Darcy system with mass sources that arises in the modeling of tumor growth. The aim is to mon…
Unsaturated deformable porous media flow with phase transition
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
In the present paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in…
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca +1
In this paper we perform an asymptotic analysis for two different vanishing viscosity coefficients occurring in a phase field system of Cahn-Hilliard type that was recently introdu…
Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in 3D
Elisabetta Rocca, Juergen Sprekels
In this paper we study a distributed optimal control problem for a nonlocal convective Cahn--Hilliard equation with degenerate mobility and singular potential in three dimensions o…
Phase separation in a gravity field
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
We prove here well-posedness and convergence to equilibria for the solution trajectories associated to a model for solidification of a liquid content of a rigid container in a grav…