The stability of dissipative magnetohydrodynamic shear flow in a parallel magnetic field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetic Fields, Magnetohydrodynamic Stability, Magnetospheric Instability, Shear Flow, Astrophysics, Asymptotic Methods, Couette Flow, Field Aligned Currents, Parallel Flow, Perturbation Theory, Two Dimensional Flow

Scientific paper

The linear stability properties of dissipative field-aligned shear flow are described analytically. The results are used to calculate the decay bounds of linearized perturbations occurring in unbounded planes of Couette flow in a parallel magnetic field. It is shown that the perturbations associated with small-amplitude localized disturbances may take the form of rolls along the shear, and exhibit ordinary potential decay, while misaligned perturbations exhibit enhanced decay in the presence of dissipation. A decay criterion is established for MHD shear flow in an accretion disk on the basis of the analytical results.

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