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Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials

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Date
2015
Link to item file
http://hal.archives-ouvertes.fr/hal-00851757
Dewey
Analyse
Sujet
hard potentials; hypodissipativity; exponential decay; spectral gap; Landau equation
Journal issue
Bulletin des sciences mathématiques
Volume
139
Number
7
Publication date
2015
Article pages
777-805
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.bulsci.2014.12.002
URI
https://basepub.dauphine.fr/handle/123456789/16404
Collections
  • CEREMADE : Publications
Metadata
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Author
Carrapatoso, Kleber
Type
Article accepté pour publication ou publié
Abstract (EN)
This paper deals with the long time behaviour of solutions to the spatially homogeneous Landau equation with hard potentials . We prove an exponential in time convergence towards the equilibrium, improving results of Desvillettes and Villani. Our approach is based on new spectral gap estimates for the linearized Landau operator in weighted (polynomial or stretched exponential) $L^p$-spaces.

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