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PreprintCC BY 4.0arXiv

On the uniform-in-time propagation of chaos for the Motsch-Tadmor model

  • Tamari Kldiashvili
  • Stefano Rossi
  • Lara Trussardi
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Abstract

We consider the Motsch-Tadmor model, a modification of the Cucker-Smale model for flocking dynamics that incorporates asymmetric communication weights. In the case of uniformly positive interactions, we consider the validity problem for the limiting kinetic equation, proving a uniform-in-time propagation of chaos result in the moving frame given by the consensus velocities. The result is obtained by studying the reversibility of the communication weights and by implicitly characterizing the asymptotic consensus.

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Cite

BibTeXRIS
BibTeX
@misc{kldiashvili2026uniformintime,
  title = {{On the uniform-in-time propagation of chaos for the Motsch-Tadmor model}},
  author = {Tamari Kldiashvili and Stefano Rossi and Lara Trussardi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21828},
  eprint = {2610.21828},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21828},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the uniform-in-time propagation of chaos for the Motsch-Tadmor model
AU  - Tamari Kldiashvili
AU  - Stefano Rossi
AU  - Lara Trussardi
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21828
UR  - https://arxiv.org/abs/2610.21828
AB  - We consider the Motsch-Tadmor model, a modification of the Cucker-Smale model for flocking dynamics that incorporates asymmetric communication weights. In the case of uniformly positive interactions, we consider the validity problem for the limiting kinetic equation, proving a uniform-in-time propagation of chaos result in the moving frame given by the consensus velocities. The result is obtained by studying the reversibility of the communication weights and by implicitly characterizing the asymptotic consensus.
ER  -