Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate

preprint2014arXivOpen access

Abstract

This paper concerns the validity of the Prandtl boundary layer theory in the inviscid limit for steady incompressible Navier-Stokes flows. The stationary flows, with small viscosity, are considered on [0,L]×R+[0,L]\times \mathbb{R}_{+}, assuming a no-slip boundary condition over a moving plate at y=0y=0. We establish the validity of the Prandtl boundary layer expansion and its error estimates.

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