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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.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…