Eigenvalue bounds for Orr-Sommerfeld equation. ``No backward wave'' theorem
type: Item
instance of: scholarly article
title: Eigenvalue bounds for Orr-Sommerfeld equation. ``No backward wave'' theorem
zbMATH Open document ID: 0888.76022
DOI: 10.1007/BF02867436
author: B. Mihir Banerjee
author: R. G. Shandil
author: Balraj Singh Bandral
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1997-01-19T00:00:00Z
review text: The linear stability of plane Poiseuille flow is considered. Lower and upper bounds for the phase velocity of an arbitrary unstable or marginally stable wave are established, that rule out the possibility of backward waves. It is shown that the overstability (not the principle of exchanges of stability) is valid for the plane Poiseuille flow.
reviewed by: Iuliana Oprea
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 955211
zbMATH Keywords: linear hydrodynamic stability
zbMATH Keywords: Orr-Sommerfeld equation
zbMATH Keywords: unstable wave
zbMATH Keywords: linear stability
zbMATH Keywords: plane Poiseuille flow
zbMATH Keywords: phase velocity
zbMATH Keywords: marginally stable wave
zbMATH Keywords: overstability
MaRDI profile type: Publication
cites work: Q3896709
cites work: Eigenvalue bounds for the Orr-Sommerfeld equation
full work available at URL: https://doi.org/10.1007/bf02867436
OpenAlex ID: W2036194410
description: scientific article; zbMATH DE number 955211