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arXiv · 2610.26574

General Periodic Conservation Laws Motivated by Traffic Modeling

Rinaldo M. Colombo·Mauro Garavello·Claudia Nocita
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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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Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita. 2026-10-19. General Periodic Conservation Laws Motivated by Traffic Modeling. https://arxiv.org/abs/2610.26574

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