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In a recent paper [12], Vishik proved the global well-posedness of the two-dimensional Euler equation in the critical Besov space B 2 2,1. In the present paper we prove that the Navier-Stokes system is globally well-posed in B 2 2,1 , with uniform estimates on the viscosity. We prove also a global result of inviscid limit. The convergence rate in L 2 is of(More)
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