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Micro-to-macro derivation and stability analysis of an Aw-Rascle-Zhang-type model with driver-dependent acceleration — arXiv:2609.15934

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.15934
License (as archived): CC0-1.0
Archived: 2026-10-16T01:22:38.091Z
SHA-256 of the archived text: 45447605eb31e85c7ca2c31cbaa7cbea848adc59258dc057c088e2a345f57ead
Stable URL of this page: https://metraipolis.com/documento/dc_600d89f07e10

How to cite

Micro-to-macro derivation and stability analysis of an Aw-Rascle-Zhang-type model with driver-dependent acceleration — arXiv:2609.15934 — arXiv (en), https://arxiv.org/abs/2609.15934 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_600d89f07e10 (Metraipolis archive dc_600d89f07e10, sha256 45447605eb31e85c7ca2c31cbaa7cbea848adc59258dc057c088e2a345f57ead)

BibTeX

@misc{dc600d89f07e10,
  title = {Micro-to-macro derivation and stability analysis of an Aw-Rascle-Zhang-type model with driver-dependent acceleration — arXiv:2609.15934},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.15934},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_600d89f07e10; sha256 45447605eb31e85c7ca2c31cbaa7cbea848adc59258dc057c088e2a345f57ead},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.15934. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We introduce a new traffic flow model. The main idea is to describe acceleration effects in the Aw-Rascle-Zhang model through an additional driver-dependent equation, thereby allowing individual driver characteristics to evolve dynamically rather than being prescribed solely by the traffic density. The resulting system provides a hyperbolic description of traffic dynamics and admits an explicit analysis of its characteristic structure, Riemann problem, and entropy properties. To investigate the stability of the proposed model, we perform a Chapman-Enskog expansion up to second order and derive the corresponding diffusive and higher-order corrections. This analysis reveals how the stability properties depend on the underlying velocity and pressure functions. Several examples are presented to illustrate the theoretical results.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-15 in math.NA).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2609.15934 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T00:39:06.345Z dalla pagina https://arxiv.org/catchup/math.NA/2026-09-15?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).