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arXiv · 2510.27509

Coexisting Automated and Human-Driven Vehicles: Well-Posedness of a Mixed Nonlocal-Local Traffic Model

Rinaldo M. Colombo·Mauro Garavello·Claudia Nocita
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Abstract

We present a macroscopic traffic flow model where standard vehicles coexist with vehicles informed on the traffic distribution. The resulting mixed nonlocal-local integro-differential PDEs is proved to generate a locally Lipschitz continuous semigroup whose orbits are uniquely characterized as solutions to the system, according to a natural definition of solution. The norms and function spaces adopted are intrinsic to the different nature of the equations.

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Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita. 2025-10-31. Coexisting Automated and Human-Driven Vehicles: Well-Posedness of a Mixed Nonlocal-Local Traffic Model. https://arxiv.org/abs/2510.27509

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