The stability of two - dimensional stationary flows of an ideal nonuniform liquid with respect to arbitrary three - dimensional infinitely small perturbations is investigated. The time - asymptotic behavior of the solutions of the hydrodynamic equations linearized with respect to the mean state is examined. It is shown that the flow is conditionally stable when Ri > 1/4 everywhere in the flow (the velocities are limited while the vortex increases linearly), and unstable in the regions where Ri < 1/4 (the perturbation energy increases without limit at the expense of the energy of the main flow).
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