230 citations · 1.9k across the 63 of their papers we have counts for
7 papers · 1 filter
Hybrid stochastic kinetic description of two-dimensional traffic dynamics
Michael Herty, Andrea Tosin, Giuseppe Visconti +1
In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. A…
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…
Control strategies for road risk mitigation in kinetic traffic modelling
Andrea Tosin, Mattia Zanella
In this paper we present a Boltzmann-type kinetic approach to the modelling of road traffic, which includes control strategies at the level of microscopic binary interactions aimed…
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…
Reducing complexity of multiagent systems with symmetry breaking: an application to opinion dynamics with polls
Emiliano Cristiani, Andrea Tosin
In this paper we investigate the possibility of reducing the complexity of a system composed of a large number of interacting agents, whose dynamics feature a symmetry breaking. We…