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Developing an Aw–Rascle model of traffic flow

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Abstract

A traffic flow model is established based on the “car following” principle with a maximal constraint on the density–velocity relationship. The model develops the Aw–Rascle model and amends some “nonphysical” features. Moreover, we construct the solutions of the Riemann problem for the model. The Riemann solutions provide a more reasonable invariant region and show the phase-transition phenomena.

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Acknowledgments

Supported by the National Natural Science Foundation of China (11171340).

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Authors and Affiliations

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, China

    Wei-Feng Jiang & Zhen Wang

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  1. Wei-Feng Jiang
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  2. Zhen Wang
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Correspondence to Wei-Feng Jiang.

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Jiang, WF., Wang, Z. Developing an Aw–Rascle model of traffic flow. J Eng Math 97, 135–146 (2016). https://doi.org/10.1007/s10665-015-9801-2

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  • DOI: https://doi.org/10.1007/s10665-015-9801-2

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