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arXiv · 2610.21519

On micro-macro derivation of traffic flow models with $(A,B)$-connection and its stability

F. Ancona·P. Cardaliaguet·A. Cesaroni
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Abstract

We show that $(A,B)$-connections for conservations laws with a flux discontinuity can be obtained as limits of perturbed Follow-the-Leader (FtL) models, and provide continuity and surjectivity of the map associating the perturbation of the dynamics with the flux limiter.

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F. Ancona, P. Cardaliaguet, A. Cesaroni. 2026-10-15. On micro-macro derivation of traffic flow models with $(A,B)$-connection and its stability. https://arxiv.org/abs/2610.21519

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