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 proposed in [Rinaldo M. Colombo, Francesca Marcellini, and Michel Rascle, SIAM J. Appl. Math., 70(7):2652–2666, 2010], 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.

AUTONOMOUS VEHICLES DRIVING TRAFFIC: THE CAUCHY PROBLEM*

Garavello M.
;
Marcellini F.
2024-01-01

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 proposed in [Rinaldo M. Colombo, Francesca Marcellini, and Michel Rascle, SIAM J. Appl. Math., 70(7):2652–2666, 2010], 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/596867
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