Abstract
The stability properties of the two layer baroclinic model with arbitrary horizontal shear are discussed. Necessary conditions for instability are derived and show that the potential vorticity gradient must be both positive and negative. Bounds are placed on the propagation speed and growth rate of unstable waves by showing that the complex phase speed must lie in a certain semi-circle in the complex velocity plane. Sufficient conditions for instability are also discussed for a certain clam of flows.
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