3 papers
math.AP2025
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…
math.OC2025
Control of Conservation Laws in the Nonlocal-to-Local Limit
Jan Friedrich, Michael Herty, Claudia Nocita
We analyze a class of control problems where the initial datum acts as a control and the state is given by the entropy solution of (local) conservation laws by a nonlocal-to-local…
math.AP2025
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…