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General Periodic Conservation Laws Motivated by Traffic Modeling
Abstract
This paper deals with the well-posedness, in the spatially periodic setting, of a mixed system of nonlocal-local conservation laws modeling traffic flow where autonomous vehicles --- informed on traffic conditions over long distances --- interact with human-driven bulk traffic. We also provide a comprehensive well-posedness theory in the periodic framework separately for general local conservation laws and for systems of nonlocal conservation laws, together with a priori total variation bounds and stability estimates.
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BibTeX
@misc{colombo2026general,
title = {{General Periodic Conservation Laws Motivated by Traffic Modeling}},
author = {Rinaldo M. Colombo and Mauro Garavello and Claudia Nocita},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26574},
eprint = {2610.26574},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26574},
}
RIS
TY - UNPB
TI - General Periodic Conservation Laws Motivated by Traffic Modeling
AU - Rinaldo M. Colombo
AU - Mauro Garavello
AU - Claudia Nocita
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26574
UR - https://arxiv.org/abs/2610.26574
AB - This paper deals with the well-posedness, in the spatially periodic setting, of a mixed system of nonlocal-local conservation laws modeling traffic flow where autonomous vehicles --- informed on traffic conditions over long distances --- interact with human-driven bulk traffic. We also provide a comprehensive well-posedness theory in the periodic framework separately for general local conservation laws and for systems of nonlocal conservation laws, together with a priori total variation bounds and stability estimates.
ER -