On the zero viscosity limit in incompressible fluids

Abstract. We discuss the convergence in the limit of vanishing viscosity of solutions of the Navier-Stokes equations for incompressible fluid flow to solutions of the Euler equations in the presence of boundaries. We present explicit examples in 2 and 3 dimensions for which convergence holds in the energy norm, even when the flow is forced through moving boundaries. We obtain convergence rates in viscosity and discuss concentration of vorticity at the boundary in the limit. PACS numbers: 47.27.N-,47.27.nb,47.15.-x,47.27.n