Volume 9, Issue 3, August 2002, Pages 311 - 324
Bounds for the Threshold Amplitude for Plane Couette Flow
Authors
Mattias Liefvendahl, Gunilla Kreiss
Corresponding Author
Mattias Liefvendahl
Received 3 October 2001, Accepted 15 April 2002, Available Online 1 August 2002.
- DOI
- 10.2991/jnmp.2002.9.3.5How to use a DOI?
- Abstract
We prove nonlinear stability for finite amplitude perturbations of plane Couette flow. A bound of the solution of the resolvent equation in the unstable complex half-plane is used to estimate the solution of the full nonlinear problem. The result is a lower bound, including Reynolds number dependence, of the threshold amplitude below which all perturbations are stable. Our result is an improvement of the corresponding bound derived in [3].
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Mattias Liefvendahl AU - Gunilla Kreiss PY - 2002 DA - 2002/08/01 TI - Bounds for the Threshold Amplitude for Plane Couette Flow JO - Journal of Nonlinear Mathematical Physics SP - 311 EP - 324 VL - 9 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.3.5 DO - 10.2991/jnmp.2002.9.3.5 ID - Liefvendahl2002 ER -