The reviewed record of science sign in
Pith

arxiv: 2502.18606 · v1 · pith:N5UGFVVQ · submitted 2025-02-25 · math.AP · math-ph· math.MP

From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy

Jos\'e Antonio Carrillo , Shuchen Guo This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:N5UGFVVQrecord.jsonopen to challenge →

classification math.AP math-phmath.MP
keywords equationfisherhierarchyinformationlandaumodelcompactnessconsider
0
0 comments X
read the original abstract

We consider the Kac model for the space-homogeneous Landau equation with the Coulomb potential. We show that the Fisher information of the Liouville equation for the unmodified $N$-particle system is monotonically decreasing in time. The monotonicity ensures the compactness to derive a weak solution of the Landau hierarchy.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the monotonicity of the entropy production in the Landau-Maxwell equation

    math.AP 2026-01 unverdicted novelty 8.0

    Entropy production for the Landau equation with Maxwell molecules is non-increasing after a finite time under moment and temperature-distribution conditions, partially resolving a 1966 conjecture.

  2. Propagation of chaos for the Boltzmann equation with very soft potentials

    math.AP 2026-04 unverdicted novelty 7.0

    Empirical measures from Kac's particle system converge to the Boltzmann equation solution for very soft potentials, proving propagation of chaos for all kernel classes.

  3. Quantitative propagation of chaos for particle systems with bounded kernels and multiplicative noise

    math.AP 2026-04 unverdicted novelty 6.0

    Quantitative propagation of chaos holds for particle systems with bounded drift kernels and multiplicative noise via an extension of the Jabin-Wang relative entropy framework using dynamic combinatorial analysis.