Abstract
The response of a semi-infinite stratified rotating medium to the action of an inhomogeneous vortex shearing stress on a horizontal surface is investigated analytically in a linear approximation. The previously unexplored region of the values of governing parameters is considered. It has been established that in the first approximation the indicated response represents a geostrophic vortex penetrating into a stably stratified medium to depths of the order of the horizontal scale of the shearing stress inhomogeneity and that the amplitude of the originating thermal perturbation is proportional to this scale and to the angular rotational velocity of the medium and inversely proportional to the coefficient of its viscosity.
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