On the absence of dissipative instability of negative energy waves in hydrodynamic shear flows

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dc.creatorChatterjee, S.
dc.creatorJoarder, P. S.
dc.date1997-12-09
dc.date.accessioned2026-07-07T05:55:59Z
dc.date.available2026-07-07T05:55:59Z
dc.descriptionStability criterion for the surface gravity capillary waves in a flowing two-layered fluid system with viscous dissipation is investigated. It is seen that the dissipative instability of negative energy waves is absent,- contrary to what earlier authors have concluded. Their error is identified to arise from an erroneous choice of the dissipation law, in which the wave profile velocity is wrongly equated to the particle velocity. Our corrected dissipation law is also shown to restore Galilean invariance to the stability condition of the system.
dc.descriptionRevtex file, 4 pgs, no figs
dc.identifierhttps://arxiv.org/abs/physics/9712015
dc.identifierhttp://arxiv.org/abs/physics/9712015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87444
dc.subjectFluid Dynamics
dc.titleOn the absence of dissipative instability of negative energy waves in hydrodynamic shear flows
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