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
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
Journal title :
Journal of Mathematical Analysis and Applications
