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Odd modes of Kelvin-Helmholtz instability in sheared flows of plasmas and fluids

2012/07/30 by A. Yu. Chirkov, Chirkov, A. Yu., V. I. Khvesyuk +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Ionosphere and magnetosphere dynamics #Plasma Physics (physics.plasm-ph) #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.1207.6853

openalex publication_date 2012/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The common feature of sheared flows of an ideal fluid and plasma in magnetic field is the Kelvin-Helmholtz instability. This instability is described by identical equations in mentioned two cases. The wave equation for the eigenmodes in the plasma obtained by the kinetic method in the long-wave limit coincides with the Rayleigh equation known for an ideal fluid. Velocity profile with a transition layer of finite width is considered. Odd modes are investigated. Localized velocity shear layer is the source of perturbations propagating beyond the transition layer. The conditions of localization of the modes are studied.

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