On the Growth Rate of an Unstable Disturbance in a Gravitationally Stratified Shear Flow

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Abstract
An improved upper bound is given for the growth rate of an unstable disturbance in a gravitationally stratified compressible shear flow, with heat conduction and viscous effects neglected. It is also shown that such a growth rate depends essentially on the characteristics of the flow in the neighborhood of the critical layer.

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