English

A sharp critical threshold for a traffic flow model with look-ahead dynamics

Analysis of PDEs 2019-05-14 v1

Abstract

We study a nonlocal traffic flow model with an Arrhenius type look-ahead interaction. We show a sharp critical threshold condition on the initial data which distinguishes the global smooth solutions and finite time wave break-down.

Keywords

Cite

@article{arxiv.1905.05090,
  title  = {A sharp critical threshold for a traffic flow model with look-ahead dynamics},
  author = {Yongki Lee and Changhui Tan},
  journal= {arXiv preprint arXiv:1905.05090},
  year   = {2019}
}

Comments

21 pages, 7 figures

R2 v1 2026-06-23T09:04:50.158Z