• Corpus ID: 249282195

Macroscopic limits of non-local kinetic descriptions of vehicular traffic

  title={Macroscopic limits of non-local kinetic descriptions of vehicular traffic},
  author={Felisia Angela Chiarello and Andrea Tosin},
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 first step, we show that optimal speed vehicle dynamics produce a first order macroscopic model with non-local flux. Next, we show that non-local follow-the-leader vehicle dynamics have a universal macroscopic counterpart in the second order Aw-Rascle-Zhang traffic model, at least when the non-locality of… 
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