Archive for Rational Mechanics and Analysis

, Volume 224, Issue 2, pp 421–469 | Cite as

Steady Prandtl Boundary Layer Expansions Over a Rotating Disk

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Abstract

This paper concerns the validity of the Prandtl boundary layer theory for steady, incompressible Navier-Stokes flows over a rotating disk. We prove that the Navier-Stokes flows can be decomposed into Euler and Prandtl flows in the inviscid limit. In so doing, we develop a new set of function spaces and prove several embedding theorems which capture the interaction between the Prandtl scaling and the geometry of our domain.

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© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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