This paper examines admissible boundary conditions for the quasigeostr
ophic psi equations that govern ageostrophic motion. Both the essentia
l (Dirichlet-type) and natural (Neumann-type) admissible boundary cond
itions are derived from the variational formulations of the psi equati
ons. Different ways of extracting the admissible boundary values from
observational data are proposed.