Spectral stability of Prandtl boundary layers: an overview
Analysis of PDEs
2014-06-18 v1 Mathematical Physics
math.MP
Abstract
In this paper we show how the stability of Prandtl boundary layers is linked to the stability of shear flows in the incompressible Navier Stokes equations. We then recall classical physical instability results, and give a short educational presentation of the construction of unstable modes for Orr Sommerfeld equations. We end the paper with a conjecture concerning the validity of Prandtl boundary layer asymptotic expansions.
Keywords
Cite
@article{arxiv.1406.4452,
title = {Spectral stability of Prandtl boundary layers: an overview},
author = {Emmanuel Grenier and Yan Guo and Toan T. Nguyen},
journal= {arXiv preprint arXiv:1406.4452},
year = {2014}
}
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17 pages