Coexisting automated and human-driven vehicles: Well-posedness of a mixed nonlocal-local traffic model
Authors:
- Rinaldo M. ColomboRCRinaldo M. Colombo
- Mauro GaravelloMGMauro Garavello
- Claudia NocitaCNClaudia Nocita
Open Access
- 20 November 2025
- journal article
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 557 (1)
Abstract
No abstract availableAll Related Versions
Funding Information
- Ministero dell'Istruzione e del Merito
- Ministero dell’Istruzione, dell’Università e della Ricerca (1033-17/06/2022)
- NextGenerationEU (DM 118/2023)
- NextGenerationEU (CUP F13C23000360007)
- European Commission
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
- Istituto Nazionale di Alta Matematica "Francesco Severi"
This publication has 25 references indexed in Scilit:
- General stability estimates in nonlocal traffic models for several populationsNonlinear Differential Equations and Applications NoDEA, 2025
- A nonlocal Lagrangian traffic flow model and the zero-filter limitZeitschrift für angewandte Mathematik und Physik, 2024
- Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence RateArchive for Rational Mechanics and Analysis, 2023
- A multiscale model for traffic regulation via autonomous vehiclesJournal of Differential Equations, 2020
- On the Singular Local Limit for Conservation Laws with Nonlocal FluxesArchive for Rational Mechanics and Analysis, 2019
- Designing the interaction of automated vehicles with other traffic participants: design considerations based on human needs and expectationsCognition, Technology & Work, 2018
- Existence, uniqueness and regularity results on nonlocal balance lawsJournal of Differential Equations, 2017
- Well-posedness of a conservation law with non-local flux arising in traffic flow modelingNumerische Mathematik, 2015
- Functional Analysis, Sobolev Spaces and Partial Differential Equations2011
- Ordinary differential equations, transport theory and Sobolev spacesInventiones Mathematicae, 1989