Existence globale pour le système d'Euler incompressible 2-D dans B∞,11

Taoufik Hmidi; Sahbi Keraani

doi:10.1016/j.crma.2005.09.045

Existence globale pour le système d'Euler incompressible 2-D dans B_∞,1¹

Translated title of the contribution: Global existence for the two-dimensional incompressible Euler system in B_∞,1¹

Taoufik Hmidi, Sahbi Keraani

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a global well-posedness result for the two-dimensional Euler system in the critical Besov space B_∞,1¹. We also establish a uniform estimate on the viscosity for the incompressible Navier-Stokes system in that space. An inviscid limit result is also given.

Translated title of the contribution	Global existence for the two-dimensional incompressible Euler system in B_∞,1¹
Original language	French
Pages (from-to)	655-658
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	341
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2005.09.045
State	Published - Dec 1 2005

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2005.09.045

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abstract = "We prove a global well-posedness result for the two-dimensional Euler system in the critical Besov space B∞,11. We also establish a uniform estimate on the viscosity for the incompressible Navier-Stokes system in that space. An inviscid limit result is also given.",

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Existence globale pour le système d'Euler incompressible 2-D dans B_∞,1¹

Abstract

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