Recent advances in the analysis of the dissipative Aw-Rascle system
Analysis of PDEs
2025-02-24 v1
Abstract
The one-dimensional Aw-Rascle (AR) system has become a cornerstone of macroscopic models for single-lane vehicular traffic. A possible generalization of this model to a multi-dimensional setting is the so-called dissipative AR model, which is more suited to capturing crowd dynamics. This review summarizes recent studies that analyze the dissipative AR model, its hard congestion limit, the non-uniqueness of weak solutions, the existence and asymptotics of solutions within the duality framework, non-local interactions, and the existence of regular solutions.
Cite
@article{arxiv.2502.15474,
title = {Recent advances in the analysis of the dissipative Aw-Rascle system},
author = {Ewelina Zatorska},
journal= {arXiv preprint arXiv:2502.15474},
year = {2025}
}