230 citations · 1.9k across the 63 of their papers we have counts for
3 papers · 1 filter
Kinetic description of collision avoidance in pedestrian crowds by sidestepping
Adriano Festa, Andrea Tosin, Marie-Therese Wolfram
In this paper we study a kinetic model for pedestrians, who are assumed to adapt their motion towards a desired direction while avoiding collisions with others by stepping aside. T…
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…
Multivalued fundamental diagrams of traffic flow in the kinetic Fokker-Planck limit
Giuseppe Visconti, Michael Herty, Gabriella Puppo +1
Starting from interaction rules based on two levels of stochasticity we study the influence of the microscopic dynamics on the macroscopic properties of vehicular flow. In particul…