Prandtl Boundary Layer Expansions of Steady Navier–Stokes Flows Over a Moving Plate

Yan Guo; Toan T. Nguyen

doi:10.1007/s40818-016-0020-6

Prandtl Boundary Layer Expansions of Steady Navier–Stokes Flows Over a Moving Plate

Yan Guo, Toan T. Nguyen

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

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₊, with 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.

Original language	English (US)
Article number	10
Journal	Annals of PDE
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/s40818-016-0020-6
State	Published - Jun 1 2017

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics
Geometry and Topology
Mathematical Physics
General Physics and Astronomy

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10.1007/s40818-016-0020-6

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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] × R+, with 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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N2 - 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+, with 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.

AB - 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+, with 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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Prandtl Boundary Layer Expansions of Steady Navier–Stokes Flows Over a Moving Plate

Abstract

All Science Journal Classification (ASJC) codes

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