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arxiv: 1411.6984 · v1 · pith:Z7NS7TRGnew · submitted 2014-11-25 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords boundaryflowslayerprandtlmovingnavier-stokesplatesteady
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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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