a Initial state y=0 b Final state y=0 b Final state

Fig. 4.92 Geostrophic adjustment induced by an initial step in sea surface elevation: a initial state, b final state.

Similarly, the solution for domain I is

Y1 = y + Bey/Xl where I1 = Vg (H + AH)/f is the deformation radius for domain I. There are two matching conditions; both Y and h are continuous at y = 0:

Y, = Yii , (H + AH) dYi/dy = HdYu/dy, at y = 0 (4.470)

The first matching condition leads to A = B, and the second matching condition leads to

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