Abstract In this short paper, we are concerned with a nonlinear hyperbolic conservation system of three equations, which is an extended macroscopic model for traffic flow. The main contribution is to prove the global existence of weak solutions and obtain a new application of the compactness framework given in the paper “Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type” (J. Funct. Anal., 261(2011), 2797–2815).
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Jianjun Chen
Richard De la cruz
Weifeng Jiang
Advanced Nonlinear Studies
China Jiliang University
Zhejiang University of Science and Technology
Yancheng Institute of Technology
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Chen et al. (Thu,) studied this question.
www.synapsesocial.com/papers/69db36c24fe01fead37c4cd3 — DOI: https://doi.org/10.1515/ans-2023-0215