ON INVISCID LIMITS FOR THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS INVOLVING THE VORTICITY

摘要

In this note we consider the inviscid limit for the Navier-Stokes equations under different slip boundary conditions of Navier's type and we show how this influences the convergence rate in the energy norm. The role of the initial data is also emphasized in connection with the vanishing viscosity limit.