Abstract
The paper considers issues related to the formulation of problems for describing the dynamics of internal gravity waves in stratified media with horizontal shear flows. Physical formulations of problems in which critical levels can arise are discussed. In the first problem, the bottom oscillations are considered, which begin at some point in time, and the establishment of a critical level at large times is studied. We also consider the formulation of the problem of a stratified medium flow running on an obstacle, behind which outgoing waves can arise, with a singularity at the critical level being formed far from the obstacle.
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