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

Calculus of Variations and Geometric Measure Theory

F. Ancona - P. Cardaliaguet - A. Cesaroni

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

created by cesaroni on 16 Oct 2026

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Submitted Paper

Inserted: 16 oct 2026
Last Updated: 16 oct 2026

Year: 2026

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.