On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates (Mathematical Analysis in Fluid and Gas Dynamics)

Abstract

We prove some criteria for the convergence of weak solutions of the 2D incompressible Navier-Stokes equations with Navier slip boundary conditions to a strong solution of incompressible Euler. The slip rate depends on a power of the Reynolds number, and it is increasingly apparent that the power 1 may be critical for L^{2} convergence, as hinted at in [14].