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This is a Quantitative Study study.

October 16, 20250 citationsOpen Access

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

EMElio MarconiUniversity of Padua LSLaura V. SpinoloIstituto di Matematica Applicata e Tecnologie Informatiche

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.

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 'Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit'.

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Cite This Study

Marconi et al. (2025) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd2fd https://doi.org/https://doi.org/10.48550/arxiv.2505.10104