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Notices of the American Mathematical Society.
Article . 2026 . Peer-reviewed
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arXiv.org e-Print Archive
Preprint . 2025
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https://dx.doi.org/10.48550/ar...
Article . 2025
License: CC BY
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The Landau Equation and Fisher Information

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2026Embargo end date: 01 Jul 2025 English Publisher:American Mathematical Society (AMS)Journal:Notices of the American Mathematical Society, volume 73 (issn: 0002-9920, eissn: 1088-9477, Copyright policy )
Authors: Guillen, Nestor; Silvestre, Luis;

doi: 10.1090/noti3307 , 10.48550/arxiv.2507.05167

arXiv: 2507.05167

The Landau Equation and Fisher Information

Abstract

In this article we explain the ideas involved in the proof of the monotonicity of the Fisher information for the space-homogeneous Landau equation. In particular, this monotonicity allowed us to prove that a smooth solution exists for all time.

Keywords

Analysis of PDEs, Statistics Theory, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Statistics Theory (math.ST), Mathematical Physics, 35Q20, 82C40, 58J35, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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