Well-posedness results for the Generalized Aw-Rascle-Zhang model

Key Points

• Existence and uniqueness of solutions are demonstrated in the generalized aw-rascle-zhang model, enhancing our understanding of traffic dynamics.
• Stability results indicate that the generalized aw-rascle-zhang model can reliably describe real-world traffic scenarios under certain conditions.
• Analysis is grounded in a second-order traffic model framework, shedding light on the complexities of traffic flow behavior.
• Findings aim to contribute insights to the companion study, highlighting foundational aspects of the generalized aw-rascle-zhang model.