5 papers · 1 filter
Coexisting Automated and Human-Driven Vehicles: Well-Posedness of a Mixed Nonlocal-Local Traffic Model
Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita
We present a macroscopic traffic flow model where standard vehicles coexist with vehicles informed on the traffic distribution. The resulting mixed nonlocal-local integro-different…
General Stability Estimates in NonLocal Traffic Models for Several Populations
Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita
We prove global existence, uniqueness and $\L1$ stability of solutions to general systems of nonlocal conservation laws modeling multiclass vehicular traffic. Each class follows it…
Non Local Hyperbolic Dynamics of Clusters
Rinaldo M. Colombo, Mauro Garavello
The formation, movement and gluing of clusters can be described through a system of non local balance laws. Here, the well posedness of this system is obtained, as well as various…
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…
Infectious Diseases Spreading Fought by Multiple Vaccines Having a Prescribed Time Effect
Rinaldo M. Colombo, Mauro Garavello
We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immuniz…