14 citations · 21 across the 10 of their papers we have counts for
14 papers
Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations
Rinaldo M. Colombo, Luca Giuzzi, Francesca Marcellini
Different populations of vehicles travel along a network. Each population has its origin, destination and travel costs - which may well be unbounded. Under the only requirement of…
Feedback stabilization for entropy solutions of a 2x2 hyperbolic system of conservation laws at a junction
Giuseppe Maria Coclite, Nicola De Nitti, Mauro Garavello +1
We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions in the exterio…
General Renewal Equations Motivated by Biology and Epidemiology
Rinaldo M. Colombo, Mauro Garavello, Francesca Marcellini +1
We present a unified framework ensuring well posedness and providing stability estimates to a class of Initial Boundary Value Problems for renewal equations comprising a variety of…
Autonomous Vehicles Driving Traffic: The Cauchy Problem
Mauro Garavello, Francesca Marcellini
This paper deals with the Cauchy Problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model, is coupled with an ordinary different…
On The Microscopic Modeling of Vehicular Traffic on General Networks
Rinaldo M. Colombo, Helge Holden, Francesca Marcellini
We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is…
A Riemann solver at a junction compatible with a homogenization limit
Mauro Garavello, Francesca Marcellini
We consider a junction regulated by a traffic lights, with n incoming roads and only one outgoing road. On each road the Phase Transition traffic model, proposed in [6], describes…