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