Abstract
"In this talk, we explore the nonlocal formulation of the generalized Aw-Rascle-Zhang (GARZ) model, a system of nonlocal hyperbolic conservation laws that governs macroscopic vehicular traffic flow. Applying the contraction mapping theorem, we prove the existence and uniqueness of weak solutions to the corresponding initial value problem over any finite time horizon. Furthermore, we investigate the stability of solutions with respect to initial data and establish the system’s maximum principle. "