86 citations · 484 across the 53 of their papers we have counts for
64 papers · 1 filter
Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions
Gianni Gilardi, Elisabetta Rocca, Andrea Signori
In this paper we consider a nonlinear system of PDEs coupling the viscous Cahn-Hilliard-Oono equation with dynamic boundary conditions enjoying a similar structure on the boundary.…
Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential
Abramo Agosti, Elisabetta Rocca, Luca Scarpa
In this paper we study a non-local Cahn-Hilliard equation with singular single-well potential and degenerate mobility. This results as a particular case of a more general model der…
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains
Abramo Agosti, Pierluigi Colli, Harald Garcke +1
We propose a new Cahn-Hilliard phase field model coupled to incompressible viscoelasticity at large strains, obtained from a diffuse interface mixture model and formulated in the E…
A Cahn-Hilliard model coupled to viscoelasticity with large deformations
Abramo Agosti, Pierluigi Colli, Harald Garcke +1
We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic pr…
Well-posedness for a diffusion-reaction compartmental model simulating the spread of COVID-19
Ferdinando Auricchio, Pierluigi Colli, Gianni Gilardi +2
This paper is concerned with the well-posedness of a diffusion-reaction system for a Susceptible-Exposed-Infected-Recovered (SEIR) mathematical model. This model is written in term…
On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
Elisabetta Rocca, Giulio Schimperna, Andrea Signori
We propose a new type of diffuse interface model describing the evolution of a tumor mass under the effects of a chemical substance (e.g., a nutrient or a drug). The process is des…