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

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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.

Original languageEnglish (US)
Article number10
JournalAnnals of PDE
Volume3
Issue number1
DOIs
StatePublished - Jun 1 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Geometry and Topology
  • Mathematical Physics
  • Physics and Astronomy(all)

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