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arXiv · 2304.07639

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

Yi Hu·Yongki Lee·Shijun Zheng
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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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Yi Hu, Yongki Lee, Shijun Zheng. 2023-04-15. Shock formation in traffic flow models with nonlocal look ahead and behind flux. https://arxiv.org/abs/2304.07639

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