230 citations · 1.9k across the 63 of their papers we have counts for
6 papers · 1 filter
Boltzmann-type models with uncertain binary interactions
Andrea Tosin, Mattia Zanella
In this paper we study binary interaction schemes with uncertain parameters for a general class of Boltzmann-type equations with applications in classical gas and aggregation dynam…
Well-posedness of a mathematical model for Alzheimer's disease
Michiel Bertsch, Bruno Franchi, Maria Carla Tesi +1
We consider the existence and uniqueness of solutions of an initial-boundary value problem for a coupled system of PDE's arising in a model for Alzheimer's disease. Apart from reac…
Measure-valued solutions to nonlocal transport equations on networks
Fabio Camilli, Raul De Maio, Andrea Tosin
We study a nonlinear transport equation defined on an oriented network where the velocity field depends not only on the state variable, but also on the solution itself. We prove ex…
Transport of measures on networks
Fabio Camilli, Raul De Maio, Andrea Tosin
In this paper we formulate a theory of measure-valued linear transport equations on networks. The building block of our approach is the initial/boundary-value problem for the measu…
Comparing first order microscopic and macroscopic crowd models for an increasing number of massive agents
Alessandro Corbetta, Andrea Tosin
In this paper a comparison between first order microscopic and macroscopic differential models of crowd dynamics is established for an increasing number of pedestrians. The nov…
Existence and approximation of probability measure solutions to models of collective behaviors
Andrea Tosin, Paolo Frasca
In this paper we consider first order differential models of collective behaviors of groups of agents based on the mass conservation equation. Models are formulated taking the spat…