Inertial Oscillations and the Galilean Transformation
- Authors: Korotaev G.K.1
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Affiliations:
- Marine Hydrophysical Institute
- Issue: Vol 54, No 2 (2018)
- Pages: 201-205
- Section: Article
- URL: https://journals.rcsi.science/0001-4338/article/view/148546
- DOI: https://doi.org/10.1134/S0001433818020147
- ID: 148546
Cite item
Abstract
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.
About the authors
G. K. Korotaev
Marine Hydrophysical Institute
Author for correspondence.
Email: gkorotaev@gmail.com
Russian Federation, Sevastopol, 299011