On the resolvent technique for stability of plane Couette flow

Details On the resolvent technique for stability of plane Couette flow On the resolvent technique for stability of plane Couette flow

2002-08-20

arxiv.org/abs/math/0208145v2

Mathematics

Analysis of PDEs

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

Scientific paper

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.

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