Eventual regularization for the slightly supercritical quasi-geostrophic equation
Annales de l'I.H.P. Analyse non linéaire, Volume 27 (2010) no. 2, p. 693-704

We prove that weak solutions of the slightly supercritical quasi-geostrophic equation become smooth for large time. The proof uses ideas from a recent article of Caffarelli and Vasseur and is based on an argument in the style of De Giorgi.

Dans cet article, nous montrons que les solutions faibles de l'équation quasi-géostrophique légèrement sur-critique deviennent régulières en temps grand. La démonstration utilise des idées d'un article récent de Caffarelli et Vasseur et repose sur un argument de type de De Giorgi.

@article{AIHPC_2010__27_2_693_0,
author = {Silvestre, Luis},
title = {Eventual regularization for the slightly supercritical quasi-geostrophic equation},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {27},
number = {2},
year = {2010},
pages = {693-704},
doi = {10.1016/j.anihpc.2009.11.006},
zbl = {1187.35186},
mrnumber = {2595196},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2010__27_2_693_0}
}

Silvestre, Luis. Eventual regularization for the slightly supercritical quasi-geostrophic equation. Annales de l'I.H.P. Analyse non linéaire, Volume 27 (2010) no. 2, pp. 693-704. doi : 10.1016/j.anihpc.2009.11.006. http://www.numdam.org/item/AIHPC_2010__27_2_693_0/

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