Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic

We consider the follow-the-leader approximation of the Aw-Rascle-Zhang (ARZ) model for traffic flow in a multi population formulation. We prove rigorous convergence to weak solutions of the ARZ system in the many particle limit in presence of vacuum. The result is based on uniform ${\mathbf{BV}}$...

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Bibliographic Details
Main Authors: Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini
Format: Article
Language:English
Published: AIMS Press 2017-01-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2017009
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