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In this paper, we consider fundamental problems of the dynamics of internalgravity waves. We present analytical and numerical algorithms for calculatingthe wave fields for a set of values of the parameters, as observed in theocean. We show that our mathematical models can describe the wave dynamics ofthe Arctic Basin, taking into account the actual physical characteristics ofsea water, topography of its floor, etc. The numerical and analytical resultsshow that the internal gravity waves have a significant effect on underwatersea objects in the Arctic Basin.

Fundamental problems of modeling the dynamics of internal gravity waves with applications to the Arctic Basin