pith. sign in

arxiv: 1408.6025 · v2 · pith:ZHR6LCTXnew · submitted 2014-08-26 · 🧮 math.AP

Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

Laurent Desvillettes This is my paper
classification 🧮 math.AP
keywords equationlandaucoulombestimatedissipationentropyinteractionweighted
0
0 comments X
read the original abstract

We present in this paper an estimate which bounds from below the entropy dissipation D(f) of the Landau operator with Coulomb interaction by a weighted H^1 norm of the square root of f. As a consequence, we get a weighted L^1_t(L^3_v) estimate for the solutions of the spatially homogeneous Landau equation with Coulomb interaction, and the propagation of L^1 moments of any order for this equation. We also present an application of our estimate to the Landau equation with (moderately) soft potentials, providing thus a new proof of some recent results of Kung-Chien Wu

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 1 Pith paper

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

  1. 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.