Non-local multi-class traffic flow models
Non-local multi-class traffic flow models
复制标题
非本地多类交通流模型
DOI：
10.3934/nhm.2019015
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
P. Goatin
中科院分区：
文献类型：
--
作者：
F. A. Chiarello;P. Goatin
本文证明了交通模型中一类一维非局部系统弱解的小时间存在性。我们近似的问题的Goddom型数值格式，我们提供了一致的L ∞和BV估计的近似解序列。最后，我们提出了一些数值模拟，说明不同类别的车辆的行为，我们分析了两个成本泛函测量交通组成的拥堵的依赖性。
We prove the existence for small times of weak solutions for a class of non-local systems in one space dimension, arising in traffic modeling. We approximate the problem by a Godunov type numerical scheme and we provide uniform L ∞ and BV estimates for the sequence of approximate solutions. We finally present some numerical simulations illustrating the behavior of different classes of vehicles and we analyze two cost functionals measuring the dependence of congestion on traffic composition.