Title :

On the inviscid limit of the 2D Euler equations with vorticity along the $(LMO^\alpha)_\alpha$ scale

Author(s) :

Bernicot, Frederic [Auteur]
Laboratoire de Mathématiques Jean Leray [LMJL]
Elgindi, Tarek M. [Auteur]
Courant Institute of Mathematical Sciences [New York] [CIMS]
Keraani, Sahbi [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Pages :

597-619

Publisher :

EMS

Publication date :

2016

ISSN :

0294-1449

Keyword(s) :

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

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Analyse classique [math.CA]

English abstract : [en]

In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in \mbox{$L^1\cap LBMO$} was proved, where $ LBMO$ is a Banach space which is strictly imbricated between \mbox{$L^\infty$} ...
Show more >In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in \mbox{$L^1\cap LBMO$} was proved, where $ LBMO$ is a Banach space which is strictly imbricated between \mbox{$L^\infty$} and $BMO$. In the present paper we prove a global result of inviscid limit of the Navier-stokes system with data in this space and other spaces with the same BMO flavor. Some results of local uniform estimates on solutions of the Navier-Stokes equations, independent of the viscosity, are also obtained.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Non spécifiée

Popular science :

Non

ANR Project :

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

Comment :

28 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL