Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths
Analysis of PDEs
2019-10-10 v1
Abstract
This paper is the continuation of a program, initiated in Grenier-Nguyen [8,9], to derive pointwise estimates on the Green function of Orr Sommerfeld equations. In this paper we focus on long wavelength perturbations, more precisely horizontal wavenumbers of order , which correspond to the lower boundary of the instability area for monotonic profiles.
Cite
@article{arxiv.1910.03988,
title = {Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths},
author = {Emmanuel Grenier and Toan T. Nguyen},
journal= {arXiv preprint arXiv:1910.03988},
year = {2019}
}
Comments
30 pages