Limite non visqueuse pour le système de Navier-Stokes dans un espace critique
نویسندگان
چکیده
In a recent paper [11], Vishik proved the global well-posedness of the two-dimensional Euler equation in the critical Besov space B 2,1. In the present paper we prove that Navier-Stokes system is globally well-posed in B 2,1, with uniform estimates on the viscosity. We prove also a global result of inviscid limit. The convergence rate in L is of order ν. keywords. navier-Stokes equations; Incompressible inviscid fluids, vorticity flows; viscous-inviscid interaction. Classification MSC. 76D05, 76C05, 76D09.
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