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arXiv · 1906.10665

The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations

Giacomo Dimarco·Andrea Tosin
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Abstract

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 an Enskog-type kinetic equation out of a precise characterisation of the microscopic binary interactions among the vehicles. Unlike other derivations available in the literature, our approach unveils the multiscale physics behind the Aw-Rascle model. This further allows us to generalise it to a new class of second order macroscopic models complying with the Aw-Rascle consistency condition, namely the fact that no wave should travel faster than the mean traffic flow.

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BibTeXRIS

Giacomo Dimarco, Andrea Tosin. 2019-06-25. The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations. https://doi.org/10.1007/s10955-019-02426-w

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