On the resolvent technique for stability of plane Couette flow
Analysis of PDEs
2016-09-07 v2
Abstract
We discuss the application of the resolvent technique to prove stability of plane Couette flow. Using this technique, we derive a threshold amplitude for perturbations that can lead to turbulence in terms of the Reynolds number. Our main objective is to show exactly how much control one should have over the perturbation to assure stability via this technique.
Cite
@article{arxiv.math/0208145,
title = {On the resolvent technique for stability of plane Couette flow},
author = {Pablo Braz e Silva},
journal= {arXiv preprint arXiv:math/0208145},
year = {2016}
}
Comments
16 pages ; Typos were corrected, more details added, presentation was improved