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arXiv · 1411.6984

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

Yan Guo·Toan T. Nguyen
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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 $[0,L]\times \mathbb{R}_{+}$, assuming a no-slip boundary condition over a moving plate at $y=0$. We establish the validity of the Prandtl boundary layer expansion and its error estimates.

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Yan Guo, Toan T. Nguyen. 2014-11-25. Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. https://arxiv.org/abs/1411.6984

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