Search Research Symposium Abstracts

Mean-field limit of a hybrid system for multi-lane car-truck traffic

In the present work, we model the multi-lane traffic flow in presence of two populations of vehicles: cars and trucks. We first develop a finite-dimensional hybrid system which relies on continuous Bando-Follow-the-Leader dynamics coupled with discrete events motivated by the lane-change maneuvers. Then we rigorously prove that the mean-field limit is [Read More...]

Presenter: Xiaoqian Gong, Arizona State University
Authors: Maria Teresa Chiri; Xiaoqian Gong ; Benedetto Piccoli
Symposium Year: 2022
Session: New Trends in Mathematical Models for Traffic Flow
Presentation Time: June 18, 2022; 10:15 am

Macroscopic traffic flow models with non-local velocity*

Non-local traffic flow models consisting of conservation laws with integral dependent flux functions have been recently introduced to account for the reaction of drivers to the downstream traffic density, assigning a greater importance to closer vehicles. In this talk, we will recall some well-posedness results for this type of models and illustrate the [Read More...]

Presenter: Paola Goatin, Inria
Authors: Paola Goatin
Symposium Year: 2022
Session: New Trends in Mathematical Models for Traffic Flow
Presentation Time: June 18, 2022; 10:40 am

Coupled PDE-ODE systems to model mixed autonomy traffic

It is anticipated that in the near future, the penetration rate of vehicles with some autonomous capabilities (e.g., adaptive cruise control, lane following, full automation, etc.) will increase on roadways. This talk will show the potential impact on traffic of these automation systems. In particular, we will focus on the potential to control automated [Read More...]

Presenter: Maria Laura Delle Monache, Department of Civil and Environmental Engineering, University of California, Berkeley
Symposium Year: 2022
Session: New Trends in Mathematical Models for Traffic Flow
Presentation Time: June 18, 2022; 11:05 am

Nonlocal PDE Models for traffic flow*

We review some recent results on PDE models for traffic flow, in particular those where the flux function is nonlocal and contains an integral term. We present results on traveling waves, the existence and uniqueness of solutions, the estimates on the total variation bound and entropy conditions. In particular, we discuss the convergence of the nonlocal to [Read More...]

Presenter: Wen Shen, Penn State University
Authors: Wen Shen
Symposium Year: 2022
Session: New Trends in Mathematical Models for Traffic Flow
Presentation Time: June 18, 2022; 11:30 am