Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 3
Pages
311 - 324
Publication Date
2002/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.3.5How to use a DOI?
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  -