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In a recent paper , the global well-posedness of the two-dimensional Euler equation with vorticity in L 1 ∩ LBMO was proved, where LBMO is a Banach space which is strictly imbricated between L ∞ 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… (More)
We consider various questions about the 2d incompressible Navier-Stokes and Euler equations on a torus when dissipation is removed from or added to some of the Fourier modes.