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Uniform-in-time relative entropy estimates for Kac's approximation of the Landau equation — arXiv:2608.29815

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29815
License (as archived): CC0-1.0
Archived: 2026-10-17T09:10:12.234Z
SHA-256 of the archived text: 6cd597e9f5b23b31fd769df302c3681915d45f440ace6cfcb566146232760743
Stable URL of this page: https://metraipolis.com/documento/dc_f292ce120bfd

How to cite

Uniform-in-time relative entropy estimates for Kac's approximation of the Landau equation — arXiv:2608.29815 — arXiv (en), https://arxiv.org/abs/2608.29815 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f292ce120bfd (Metraipolis archive dc_f292ce120bfd, sha256 6cd597e9f5b23b31fd769df302c3681915d45f440ace6cfcb566146232760743)

BibTeX

@misc{dcf292ce120bfd,
  title = {Uniform-in-time relative entropy estimates for Kac's approximation of the Landau equation — arXiv:2608.29815},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29815},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f292ce120bfd; sha256 6cd597e9f5b23b31fd769df302c3681915d45f440ace6cfcb566146232760743},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29815. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove uniform-in-time quantitative relative entropy estimates for Kac's particle approximation of the three-dimensional spatially homogeneous Landau equation for Maxwellian molecules. Using the relative entropy method and logarithmic derivative estimates, we obtain a finite-time normalized entropy bound of order $N^{-1/2}$. The proof relies on explicit covariance identities and a new law-of-large-numbers estimate for the particle system using a new duality method. The uniform-in-time propagation of chaos is derived from an interpolation with an algebraic relaxation estimate toward equilibrium.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-01 in math.PR).
Categorie arXiv: Analysis of PDEs (math.AP) ; Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2608.29815 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T08:40:49.546Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).