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In this note we consider the inviscid limit for the 3D Boussinesq equations without diusion, under slip boundary conditions of Navier’s type. We rst study more closely the Navier–Stokes equations, to better understand the problem. The role of the initial data is also emphasized in connection with the vanishing viscosity limit

nonlinear differential equations and applications

An elementary approach to the inviscid limits for the 3D Navier–Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations