Browsing by Autor "Andrei Giniatoulline"
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Item type: Item , On the solution of the system modelling non-linear stratified rotating fluid(2015) Andrei GiniatoullineItem type: Item , On the uniqueness of the limit amplitude for the induced vibrations in strati(2011) Andrei Giniatoulline; Édgar Alejandro Aguilar MayorgaFor three-dimensional exponentially stratied ows we make a review of our previous results and present a new corollary which consist of a detailed analysis for the classes of uniqueness of the solutions of the relevant equation for the limit amplitude of the induced vibrations caused by a periodic external force. Our main result is that for a frequency outside of the spectrum the limit amplitude is unique, while for a frequency belonging to the spectrum the limit amplitude loses the uniqueness.