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math.AP2019★ 2 cited
A sharp critical threshold for a traffic flow model with look-ahead dynamics
Yongki Lee, Changhui Tan
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 globa…
math.AP2019★ 1 cited
Traffic flow models with looking ahead-behind dynamics
Yongki Lee
Motivated by the traffic flow model with Arrhenius look-ahead relaxation dynamics introduced in [A. Sopasakis and M.A. Katsoulakis, SIAM J. Appl. Math., 66 (2006), p. 921--944], th…