= Potential-vorticity inversion
{title2=$[\nabla_h^2+(f_0^2/N^2)\partial_z^2]\psi=q-\beta y$}
Potential-vorticity inversion recovers the balanced <quasi-geostrophic streamfunction> from interior <potential vorticity> and suitable boundary buoyancy or pressure data by solving an elliptic boundary-value problem. Boundary anomalies can drive nonzero flow even when the interior potential-vorticity anomaly is zero. Boundary conditions and any pressure gauge or compatibility condition are essential to uniqueness.
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