Linearized shallow water equations

For a homogeneous layer of mean depth

H_{0}

on an f-plane, linearization about rest gives

u_{t} - f v = - g η_{x}, v_{t} + f u = - g η_{y}, η_{t} + H_{0} (u_{x} + v_{y}) = 0.

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Paper 333 / 1 / a / Solution

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