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cond-mat.stat-mech2021★ 11 cited
Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
Giacomo Dimarco, Andrea Tosin, Mattia Zanella
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 c…
cond-mat.stat-mech2019★ 20 cited
The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations
Giacomo Dimarco, Andrea Tosin
We study the derivation of second order macroscopic traffic models from kinetic descriptions. In particular, we recover the celebrated Aw-Rascle model as the hydrodynamic limit of…