Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk
Analysis of PDEs
2015-09-15 v2
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.
Keywords
Cite
@article{arxiv.1508.06956,
title = {Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk},
author = {Sameer Iyer},
journal= {arXiv preprint arXiv:1508.06956},
year = {2015}
}
Comments
version 2: 94 pages, shorter construction in Section 3.2, results unchanged