Kelvin-Helmholtz instabilities of high-velocity magnetized, anisotropic shear layers

Physics

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Anisotropic Fluids, Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Plasma Layers, Shear Layers, Compressible Fluids, Flow Velocity, Inviscid Flow, Perturbation Theory, Vortex Sheets

Scientific paper

The formulation of Chew, Goldberger, and Low is used to analyze the Kelvin-Helmholtz instability of an anisotropic finite-width compressible supersonic shear layer with a parallel uniform magnetic field and a 'linear' velocity profile. The nonlocal coupling of the firehose and mirror instabilities via a spatially varying velocity is examined. A general numerical technique is employed to generate the values of the real and imaginary parts of the perturbation of the frequency at various points of the Mach number/wavenumber plane. The structure of the instability is shown to be very different from that of the anisotropic vortex sheet or that of the isotropic collision-dominated magnetized shear layer.

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