@article{Li2023, 
author = {Tong Li and Nitesh Mathur},
title = {Global well-posedness and asymptotic behavior of    B  V solutions to a system of balance laws arising in traffic flow},
year = {2023},
journal = {Networks and Heterogeneous Media},
volume = {18},
number = {2},
pages = {581-600},
keywords = {hyperbolic balance laws, global BV solution, entropy-entropy flux pairs, cauchy problem, traffic flow, relaxation, nonconcave fundamental diagram},
url = {https://www.sciopen.com/article/10.3934/nhm.2023025},
doi = {10.3934/nhm.2023025},
abstract = {We establish global well-posedness and asymptotic behavior of    B  V solutions to a system of balance laws modeling traffic flow with nonconcave fundamental diagram. We prove the results by finding a convex entropy-entropy flux pair and verifying the Kawashima condition, the sub-characteristic condition, and the partial dissipative inequality in the framework of Dafermos. This problem is of specific interest since nonconcave fundamental diagrams arise naturally in traffic flow.}
}