Shear flow instability near the cusp resonance in magnetopause boundary layer

Physics – Plasma Physics

Scientific paper

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Astrophysics, Boundary Layers, Flow Stability, Magnetohydrodynamic Waves, Magnetopause, Plasma Physics, Shear Flow, Solar Wind, Cubic Equations, Differential Equations, Eigenvalues, Graphs (Charts), Mathematical Models

Scientific paper

Shear flow instability is studied in the planar magnetopause boundary layer region by treating the plasma as compressible. A necessary criterion for instability near the cusp resonance is obtained analytically. The criterion depends on plasma beta, Alfven Mach number MA and the ratio of the scale lengths of the gradients in the flow and Alfven velocities. The instability at the cusp resonance layer can be excited rather easily for the low beta plasma and for shear flow scale length smaller than the typical scale length over which Alfven velocity varies. The growth rate for instability is obtained for any beta from a cubic equation. The unstable modes may contribute to the Ultralow Frequency (ULF) wave activity at the magnetopause.

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