1997/12/09 by S. Chatterjee, Chatterjee, S., P. S. Joarder +1
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Ocean Waves and Remote Sensing #Solar and Space Plasma Dynamics #Tropical and Extratropical Cyclones Research #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/9712015
Revtex file, 4 pgs, no figs
arxiv created 1997/12/09 · openalex publication_date 1997/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Stability 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.