English

Properties of the LWR model with time delay

Numerical Analysis 2020-03-30 v1 Numerical Analysis

Abstract

In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the literature are not directly applicable to the delayed model, we mainly focus on the numerical analysis of the proposed finite difference discretization. The simulation results also show that the delay model is able to capture Stop & Go waves.

Keywords

Cite

@article{arxiv.2003.12090,
  title  = {Properties of the LWR model with time delay},
  author = {Simone Göttlich and Elisa Iacomini and Thomas Jung},
  journal= {arXiv preprint arXiv:2003.12090},
  year   = {2020}
}
R2 v1 2026-06-23T14:28:32.534Z