Shock formation in traffic flow models with nonlocal look ahead and behind flux

2023/04/15 by Hu, Yi, Lee, Yongki, Zheng, Shijun
#Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35L65 #Secondary 35L67

paper · doi:10.48550/arxiv.2304.07639

Abstract

In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics with concave-convex flux.

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