Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2014
- DOI:
- 10.48550/arXiv.1411.6984
- arXiv:
- arXiv:1411.6984
- Bibcode:
- 2014arXiv1411.6984G
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics
- E-Print:
- 46 pages, no figure