16 citations · 35 across the 7 of their papers we have counts for
7 papers · 1 filter
Generalized gradient flow structure of internal energy driven phase field systems
Elena Bonetti, Elisabetta Rocca
In this paper we introduce a general abstract formulation of a variational thermomechanical model, by means of a unified derivation via a generalization of the principle of virtual…
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca +1
This paper is concerned with a phase field system of Cahn-Hilliard type that is related to a tumor growth model and consists of three equations in terms of the variables order para…
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…
On a nonlocal Cahn-Hilliard equation with a reaction term
Stefano Melchionna, Elisabetta Rocca
We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn-Hilliard equation with a reaction term. We deal here with the case of logarithmic potential…
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D
Sergio Frigeri, Elisabetta Rocca, Jürgen Sprekels
We study a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids coupling the Navier--Stokes system with a convective nonlocal Cahn--Hilliard equa…
Optimal control for a phase field system with a possibly singular potential
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1
In this paper we study a distributed control problem for a phase field system of Caginalp type with logarithmic potential. The main aim of this work would be to force the location…