3 papers
math.DS2026
Traffic Flow Reconstruction from Limited Collected Data
Nail Baloul, Amaury Hayat, Thibault Liard +1
We propose an efficient method for reconstructing traffic density with low penetration rate of probe vehicles. Specifically, we rely on measuring only the initial and final positio…
math.AP2019
A multiscale model for traffic regulation via autonomous vehicles
Mauro Garavello, Paola Goatin, Thibault Liard +1
Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODE…
math.AP2018
Well-posedness for scalar conservation laws with moving flux constraints
Thibault Liard, Benedetto Piccoli
We consider a strongly coupled ODE-PDE system representing moving bottlenecks immersed in vehicular traffic. The PDE consists of a scalar conservation law modeling the traffic flow…