Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles

@article{Dimarco2021KineticDO,
  title={Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles},
  author={Giacomo Dimarco and Andrea Tosin and Mattia Zanella},
  journal={ArXiv},
  year={2021},
  volume={abs/2101.04066}
}
In this paper, we derive second order hydrodynamic traffic models from kinetic-controlled equations for driver-assist vehicles. At the vehicle level we take into account two main control strategies synthesising the action of adaptive cruise controls and cooperative adaptive cruise controls. The resulting macroscopic dynamics fulfil the anisotropy condition introduced in the celebrated Aw-Rascle-Zhang model. Unlike other models based on heuristic arguments, our approach unveils the main physical… 
Macroscopic limits of non-local kinetic descriptions of vehicular traffic
We study the derivation of non-local macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equations. As a

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