@inproceedings{93960ac01a9c4d72b96ac9700e6310e9,
title = "Shock Formation in Traffic Flow Models with Nonlocal Look Ahead and Behind Flux",
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.",
keywords = "Blow-up, Critical threshold, Look-ahead dynamics, Nonlocal conservation law, Traffic flow, Wave-breaking",
author = "Yi Hu and Yongki Lee and Shijun Zheng",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 1st Southern Georgia Mathematics Conference, SGMC 2021 ; Conference date: 02-04-2021 Through 03-04-2021",
year = "2024",
doi = "10.1007/978-3-031-69710-4_13",
language = "English",
isbn = "9783031697098",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "301--317",
editor = "Divine Wanduku and Shijun Zheng and Zhan Chen and Andrew Sills and Haomin Zhou and Ephraim Agyingi",
booktitle = "Applied Mathematical Analysis and Computations II - 1st SGMC",
address = "Germany",
}