Abstract: The emerging connected and automated vehicle technologies allow vehicles to perceive and process information in a wide spatial range, which motivates the modeling of traffic flows with nonlocal inter-vehicle interactions. For example, the literature has considered conservation laws with nonlocal integral terms. By conducting stability analysis of one such model, we obtain asymptotic stability of the uniform equilibrium flow under suitable assumptions on how the nonlocal information is utilized. The findings may serve to inform the development of future driving algorithms for connected vehicles. In this talk, I will also discuss a nonlocal conservation law for modeling traffic flows over urban transportation networks, where the nonlocality arises from a coarse-scale description of fine-scale traffic flow dynamics.

Dr. Kuang Huang is a Research Assistant Professor in the Department of Mathematics at The Chinese University of Hong Kong. He obtained his Ph.D. from the Department of Applied Physics and Applied Mathematics at Columbia University in 2022. His research interests include nonlocal models and their applications in traffic flow modeling, mean field games, and physics-informed and data-driven modeling of dynamical systems.