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

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arxiv 2304.07639 v1 pith:TWLQTSF5 submitted 2023-04-15 math.AP

Yi Hu , Yongki Lee , Shijun Zheng This is my paper
classification math.AP
keywords flowfluxtrafficformationmodelsshockaheadarrhenius
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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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