Analysis of the generalised Aw-Rascle model
Analysis of PDEs
2023-02-24 v2
Abstract
We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For an arbitrary large class of initial data and the periodic domain, we prove the existence of global-in-time measure-valued solutions. Moreover, using the relative energy technique, we show that the measure-valued solutions coincide with the classical solutions as long as the latter exist.
Keywords
Cite
@article{arxiv.2202.04130,
title = {Analysis of the generalised Aw-Rascle model},
author = {Nilasis Chaudhuri and Piotr Gwiazda and Ewelina Zatorska},
journal= {arXiv preprint arXiv:2202.04130},
year = {2023}
}
Comments
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