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February 26, 2026Open Access

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

Key Points

This research aims to establish existence, uniqueness, and stability results for the Generalized Aw-Rascle-Zhang model.
Analyzed the Generalized Aw-Rascle-Zhang model focusing on second-order traffic dynamics.
Proposed mathematical approaches to establish well-posedness results.
Identified conditions for existence and uniqueness of solutions.
Demonstrated stability results for the traffic model under specific parameters.

Abstract

Abstract We establish existence, uniqueness, and stability results for the so-called Generalized Aw-Rascle-Zhang model, a second-order traffic model introduced by Fan, Herty, and Seibold. Our analysis is motivated by the companion paper (Marconi and Spinolo in Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit, 2025, arXiv: 2505.10102 ).

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Cite This Study

Marconi et al. (Tue,) studied this question.

synapsesocial.com/papers/699f95571bc9fecf3dab2f36 https://doi.org/https://doi.org/10.1186/s13662-026-04079-y

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