Gravity mode instabilities in differentially rotating discs

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Accretion Disks, Gravitation Theory, Modal Response, Stellar Rotation, Gravitational Waves, Perturbation Theory, Rotating Disks, Shear Flow, Shear Layers, Wave Reflection

Scientific paper

The modal structure of internal gravity modes in shearing systems is investigated using analytical methods. If the buoyancy frequency profile satisfies certain symmetry conditions, two types of instabilities are found - one of which can be explained by over-reflection, the other by mode resonances. Due to the intrinsically low pattern speed of gravity waves, the shear-driven instabilities occur predominantly at low shear rates. Their importance for accretion flows and differentially rotating stars is stressed.

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