Autonomous Vehicles Driving Traffic: The Cauchy Problem
Analysis of PDEs
2023-08-15 v2
Abstract
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.
Cite
@article{arxiv.2212.02884,
title = {Autonomous Vehicles Driving Traffic: The Cauchy Problem},
author = {Mauro Garavello and Francesca Marcellini},
journal= {arXiv preprint arXiv:2212.02884},
year = {2023}
}
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32 pages