Title of article
A note on nonlinear stability of plane parallel shear flows ✩
Author/Authors
R. Kaiser، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
14
From page
543
To page
556
Abstract
We present a generalized energy functional E for plane parallel shear flows which provides conditional
nonlinear stability for Reynolds numbers Re below some value ReE depending on the shear
profile. In the case of the experimentally important profiles, viz. combinations of laminar Couette
and Poiseuille flow, ReE is shown to be at least 174.
2004 Elsevier Inc. All rights reserved
Keywords
Lyapunov method , Nonlinear stability , energy functional , Parallel shear flows
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933682
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