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

2019/05/13 by Yongki Lee, Lee, Yongki, Changhui Tan +1
Economics, Econometrics and Finance · Mathematics · #35L65 #35L67 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1905.05090

openalex publication_date 2019/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Sharp critical thresholds for a class of nonlocal traffic flow models
• Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics
• On the Aw-Rascle-Zhang traffic models with nonlocal look-ahead interactions
• Shock formation in traffic flow models with nonlocal look ahead and behind flux
• Traffic flow models with looking ahead-behind dynamics