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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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Cite

BibTeXRIS
BibTeX
@misc{ancona2026micromacro,
  title = {{On micro-macro derivation of traffic flow models with $(A,B)$-connection and its stability}},
  author = {F. Ancona and P. Cardaliaguet and A. Cesaroni},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21519},
  eprint = {2610.21519},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21519},
}
RIS
TY  - UNPB
TI  - On micro-macro derivation of traffic flow models with (A,B)-connection and its stability
AU  - F. Ancona
AU  - P. Cardaliaguet
AU  - A. Cesaroni
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21519
UR  - https://arxiv.org/abs/2610.21519
AB  - 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.
ER  -