论文标题
自动驾驶汽车驱动交通：库奇问题
Autonomous Vehicles Driving Traffic: The Cauchy Problem
论文作者
论文摘要
本文涉及PDE-ODE模型的Cauchy问题，其中两个保护法的系统（即两相宏观模型）与一个普通的微分方程相结合，描述了自动驾驶汽车（AV）的轨迹，旨在控制交通流量。在适当的假设下，我们证明了全球时间存在的结果。
This paper deals with the Cauchy Problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model, is coupled with an ordinary differential equation describing the trajectory of an autonomous vehicle (AV), which aims to control the traffic flow. Under suitable assumptions, we prove a global in time existence result.
