12 citations · 24 across the 17 of their papers we have counts for
10 papers · 1 filter
Global existence for Consensus-Based Kinetic Models for Image Segmentation
Abramo Agosti, Pierluigi Colli, Elisabetta Rocca +1
In this article, we analyze a recently introduced kinetic model based on Hegselmann-Krause-type interaction dynamics describing consensus-based image segmentation in the mean-field…
Carleman estimates for backward Cahn-Hilliard-reaction-diffusion problems
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
We study a backward inverse problem for a coupled Cahn-Hilliard-reaction-diffusion system. Our main result is a Carleman estimate for a fourth-order/second-order parabolic system w…
Identifying early tumour states in a Cahn-Hilliard-reaction-diffusion model
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
In this paper, we tackle the problem of reconstructing earlier tumour configurations starting from a single spatial measurement at a later time. We describe the tumour evolution th…
Large deformations in terms of stretch and rotation and local solution to the non-stationary problem
Abramo Agosti, Michel Fremond
In this paper we consider and generalize a model, recently proposed and analytically investigated in its quasi-stationary approximation by the authors, for visco-elasticity with la…
Analysis of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model with chemotaxis and angiogenesis
Abramo Agosti, Andrea Signori
We introduce a multi-species diffuse interface model for tumor growth, characterized by its incorporation of essential features related to chemotaxis, angiogenesis and proliferatio…
Energy-variational solutions for viscoelastic fluid models
Abramo Agosti, Robert Lasarzik, Elisabetta Rocca
In this article, we introduce the concept of energy-variational solutions for a large class of systems of nonlinear evolutionary partial differential equations. Under certain conve…
Large deformations in terms of stretch and rotation and global solution to the quasi-stationary problem
Abramo Agosti, Pierluigi Colli, Michel Frémond
In this paper we derive a new model for visco-elasticity with large deformations where the independent variables are the stretch and the rotation tensors which intervene with secon…
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…