6 papers
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…
Entropy Production in General Balance Laws
Rinaldo Colombo, Vincent Perrollaz
Given a general scalar balance law, i.e., in several space dimensions and with flux and source both space and time dependent, we focus on the functional properties of the entropy p…
Non Local Mixed Systems with Neumann Boundary Conditions
Rinaldo M. Colombo, Elena Rossi, Abraham Sylla
We prove well posedness and stability in for a class of mixed hyperbolic-parabolic non linear and non local equations in a bounded domain with no flow along the boun…
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…
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…
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…