Inertial Oscillations and the Galilean Transformation


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This paper presents a general solution of shallow-water equations on the f-plane. The solution describes the generation of inertial oscillations by wind-pulse forcing over the background of currents arbitrarily changing in time and space in a homogeneous fluid. It is shown that the existence of such a complete solution of shallow-water equations on the f-plane is related to their invariance with respect to the generalized Galilean transformations. Examples of velocity hodographs of inertial oscillations developing over the background of a narrow jet are presented which explain the diversity in their forms.

Sobre autores

G. Korotaev

Marine Hydrophysical Institute

Autor responsável pela correspondência
Email: gkorotaev@gmail.com
Rússia, Sevastopol, 299011

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