On the resolvent technique for stability of plane Couette flow

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.

arXiv comment16 pages ; Typos were corrected, more details added, presentation was improved