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In this paper different types of stabilities (global, local) with respect to instantaneous perturbations and permanent source produced time harmonic perturbations are presented in case of a spatially developing gas flow. Some types of instabilities (global absolute, local convective) are also presented. For this purpose the Euler equations linearized at the constant gas flow are used. It is shown for instance, that the constant gas flow is global absolutely unstable with respect to somedoi:10.13111/2066-8201.2015.7.4.5 fatcat:whkegcoqqbhgbl2xfhf6sivcbi