On the inviscid limit of the 2D Euler equations with vorticity along the (LMOα)α scale

Original · EN

In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in L¹∩ 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 flavor. Some results of local uniform estimates on solutions of the Navier-Stokes equations, independent of the viscosity, are also obtained.