The stability of non-separable barotropic and baroclinic shear flows

Statistics – Computation

Scientific paper

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Accretion Disks, Baroclinic Instability, Barotropic Flow, Flow Stability, Shear Flow, Stellar Rotation, Boussinesq Approximation, Brunt-Vaisala Frequency, Computational Astrophysics, Rotating Disks, Stratified Flow

Scientific paper

The linear stability with respect to three-dimensional perturbations of unbounded barotropic and baroclinic shear flows depending linearly on both transverse coordinates is studied. The Boussinesq approximation is used, but the usual hydrostatic approximation in the vertical is relaxed. Dissipation effects are ignored. A baroclinic flow can always be destabilized by sufficiently large horizontal anticyclonic shear. The results are relevant for the stability of differential rotation in radiative stars and accretion disks.

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