论文标题
多层流量模型的非本地方法
Nonlocal approaches for multilane traffic models
论文作者
论文摘要
我们根据平衡法提出了一个多行动交通模型，其中非本地源项用于描述车道变化速率。建模框架包括考虑局部和非局部通量功能的考虑。基于Godunov类型的数值方案，我们提供BV估计和离散的熵不平等。加上$ l^1 $ - 收集属性，我们证明了弱解决方案的存在和独特性。数值示例显示了与局部通量功能和局部来源相比的非局部影响。
We present a multilane traffic model based on balance laws, where the nonlocal source term is used to describe the lane changing rate. The modelling framework includes the consideration of local and nonlocal flux functions. Based on a Godunov type numerical scheme, we provide BV estimates and a discrete entropy inequality. Together with the $L^1$-contractivity property, we prove existence and uniqueness of weak solutions. Numerical examples show the nonlocal impact compared to local flux functions and local sources.
