Discussion
Which role do the boundary temperature gradients play in the stability criterion?
Answer: C
A temperature gradient at a rigid boundary is dynamically equivalent to a sheet of potential vorticity gradient concentrated at that surface, which is how the Eady model satisfies the Charney-Stern criterion despite having no interior gradient at all. This equivalence, due to Bretherton, unifies the treatment of boundary and interior effects. Propagation speed, growth rate and preferred wavelength all follow from the full solution rather than from the boundary gradients alone.
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