We propose in this work new (and hopefully close to optimal) variants of entropy production estimates for the Landau equation, in terms of relative weighted Fisher information-like terms. We start by showing how the same kind of estimates can be obtained for a simpler 1D model, sometimes called Kac-Landau equation.
@article{SLSEDP_2019-2020____A6_0,
author = {Laurent Desvillettes},
title = {About {Boltzmann{\textquoteright}s} {H} {Theorem} for the {Landau} equation},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:9},
pages = {1--13},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2019-2020},
doi = {10.5802/slsedp.143},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.143/}
}
TY - JOUR AU - Laurent Desvillettes TI - About Boltzmann’s H Theorem for the Landau equation JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:9 PY - 2019-2020 SP - 1 EP - 13 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.143/ DO - 10.5802/slsedp.143 LA - en ID - SLSEDP_2019-2020____A6_0 ER -
%0 Journal Article %A Laurent Desvillettes %T About Boltzmann’s H Theorem for the Landau equation %J Séminaire Laurent Schwartz — EDP et applications %Z talk:9 %D 2019-2020 %P 1-13 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.143/ %R 10.5802/slsedp.143 %G en %F SLSEDP_2019-2020____A6_0
Laurent Desvillettes. About Boltzmann’s H Theorem for the Landau equation. Séminaire Laurent Schwartz — EDP et applications (2019-2020), Talk no. 9, 13 p. doi : 10.5802/slsedp.143. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.143/
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