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Journal Articles Networks and Heterogeneous Media Year : 2019

Non-local multi-class traffic flow models

Abstract

We prove the existence for small times of weak solutions for a class of non-local systems in one space dimension, arising in traffic modeling. We approximate the problem by a Godunov type numerical scheme and we provide uniform L ∞ and BV estimates for the sequence of approximate solutions. We finally present some numerical simulations illustrating the behavior of different classes of vehicles and we analyze two cost functionals measuring the dependence of congestion on traffic composition.
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Dates and versions

hal-01853260 , version 1 (02-08-2018)

Identifiers

  • HAL Id : hal-01853260 , version 1

Cite

Felisia Angela Chiarello, Paola Goatin. Non-local multi-class traffic flow models. Networks and Heterogeneous Media, 2019, 14 (2), pp.371-387. ⟨hal-01853260⟩
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