<正> Ⅰ.NTRODUCTIONThis paper is concerned with the nonlinear Liapunov stability of two-dimensionalquasigeostrophic motions in atmosphere and ocean.Some new results are obtained.First,thecriteria given by Refs.[1—6]are only suitable for the perturbations of initial conditions,while those gained in this paper are applicable to the perturbations of both initial conditionsand parameters in the models.Second,Arnold pointed out that even if the second varia-
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