Date
2011
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00482898/fr/
Indexation documentaire
Analyse
Subject
asymptotic expansion; second moment; sharp rates; intermediate asymptotics; Fast diffusion equation; porous media equation; Barenblatt solutions; Hardy-Poincaré inequalities; large time behaviour; optimal constants
Nom de la revue
Kinetic and Related Models
Volume
4
Numéro
3
Date de publication
2011
Pages article
701-716
Nom de l'éditeur
American Institute of Mathematical Sciences
Auteur
Toscani, Giuseppe
Dolbeault, Jean
Type
Article accepté pour publication ou publié
Résumé en anglais
A non self-similar change of coordinates provides improved matching asymptotics of the solutions of the fast diffusion equation for large times, compared to already known results, in the range for which Barenblatt solutions have a finite second moment. The method is based on relative entropy estimates and a time-dependent change of variables which is determined by second moments, and not by the scaling corresponding to the self-similar Barenblatt solutions, as it is usually done.
