12 citations · 14 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca
We study a non-local variant of a diffuse interface model proposed by Hawkins--Darrud et al. (2012) for tumour growth in the presence of a chemical species acting as nutrient. The…
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…
On the strongly damped wave equation with constraint
Elena Bonetti, Elisabetta Rocca, Riccardo Scala +1
A weak formulation for the so-called "semilinear strongly damped wave equation with constraint" is introduced and a corresponding notion of solution is defined. The main idea in th…
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…
The Penrose-Fife phase-field model with dynamic boundary conditions
Alain Miranville, Elisabetta Rocca, Giulio Schimperna +1
In this paper we derive, starting from the basic principles of Thermodynamics, an extended version of the nonconserved Penrose-Fife phase transition model, in which dynamic boundar…