Titre :

On the global well-posedness of the 2D Euler equations for a large class of Yudovich type data

Auteur(s) :

Bernicot, Frederic [Auteur correspondant]
Laboratoire de Mathématiques Jean Leray [LMJL]
Keraani, Sahbi [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Annales Scientifiques de l'École Normale Supérieure

Pagination :

559-576

Éditeur :

Société mathématique de France

Date de publication :

2014

ISSN :

0012-9593

Mot(s)-clé(s) :

2D incompressible Euler equations
Global well-posedness
BMO-type space

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

The study of the 2D Euler equation with non Lipschitzian velocity was initiated by Yudovich in [19] where a result of global well-posedness for essentially bounded vorticity is proved. A lot of works have been since dedicated ...
Lire la suite >The study of the 2D Euler equation with non Lipschitzian velocity was initiated by Yudovich in [19] where a result of global well-posedness for essentially bounded vorticity is proved. A lot of works have been since dedicated to the extension of this result to more general spaces. To the best of our knowledge all these contributions lack the proof of at least one of the following three fundamental properties: global existence, uniqueness and regularity persistence. In this paper we introduce a Banach space containing unbounded functions for which all these properties are shown to be satisfied.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Analyse de Fourier Multilineaire et EDPs Nonlineaires
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation

Commentaire :

17 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL