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Abstract
Arnold's (1965a) method is used to investigate the stability of a stationary, nonparallel, plane flow, with horizontal shear, to three-dimensional nondivergent disturbances in a Boussinesq fluid. It is shown that, if the fluid is statically stable, the Rayleigh condition is not sufficient to insure inertial stability to all disturbance modes. For channel flow it is possible to establish the sufficiency condition for stability to some of these modes.