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

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. To cite this article: T. Hmidi, S. Keraani, C. R. Acad. Sci. Paris, Ser. I 341 (2005).