Autonomous Vehicles Driving Traffic: The Cauchy Problem

Mauro Garavello; Francesca Marcellini

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arXiv · 2212.02884

Autonomous Vehicles Driving Traffic: The Cauchy Problem

Mauro Garavello·Francesca Marcellini

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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.

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Mauro Garavello, Francesca Marcellini. 2022-12-06. Autonomous Vehicles Driving Traffic: The Cauchy Problem. https://arxiv.org/abs/2212.02884

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