Localisation of perturbations of a constant state in a traffic flow model
Analysis of PDEs
2022-04-26 v1
Abstract
We consider, in the Aw-Rascle-Zhang traffic flow model, the problem of the asymptotic stability of constant flows. By using a perturbative approach, we show the stability in a larger space of perturbation than previous results. Furthermore, we are able to compute where the perturbation is mainly localised in space for a given time, based on the localisation of the perturbation initially. These new ideas can be applied to various other models of hyperbolic conservation laws with relaxations.
Keywords
Cite
@article{arxiv.2204.11557,
title = {Localisation of perturbations of a constant state in a traffic flow model},
author = {Tej-Eddine Ghoul and Nader Masmoudi and Eliot Pacherie},
journal= {arXiv preprint arXiv:2204.11557},
year = {2022}
}