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arXiv · 1508.06956

Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk

Sameer Iyer
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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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Sameer Iyer. 2015-09-13. Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk. https://arxiv.org/abs/1508.06956

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