Green function of Orr Sommerfeld equations away from critical layers
Analysis of PDEs
2019-04-02 v3
Abstract
The classical Orr-Sommerfeld equations are the resolvent equations of the linearized Navier Stokes equations around a stationary shear layer profile in the half plane. In this paper, we derive pointwise bounds on the Green function of the Orr Sommerfeld problem away from its critical layers.
Keywords
Cite
@article{arxiv.1702.07924,
title = {Green function of Orr Sommerfeld equations away from critical layers},
author = {Emmanuel Grenier and Toan T. Nguyen},
journal= {arXiv preprint arXiv:1702.07924},
year = {2019}
}
Comments
title changed, Green function construction greatly simplified. To appear SIMA