{ "id": "2505.10104", "version": "v1", "published": "2025-05-15T09:12:08.000Z", "updated": "2025-05-15T09:12:08.000Z", "title": "Well-posedness results for the Generalized Aw-Rascle-Zhang model", "authors": [ "Elio Marconi", "Laura V. Spinolo" ], "comment": "13 pages", "categories": [ "math.AP" ], "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'.", "revisions": [ { "version": "v1", "updated": "2025-05-15T09:12:08.000Z" } ], "analyses": { "subjects": [ "35L65" ], "keywords": [ "well-posedness results", "second order traffic model", "companion paper nonlocal generalized aw-rascle-zhang", "paper nonlocal generalized aw-rascle-zhang model", "stability results" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }