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ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT

Abstract : We consider the propagation of equatorial waves of small amplitude, in a flow with an underlying non-uniform current. Without making the too restrictive rigid-lid approximation, by exploiting the available Hamiltonian structure of the problem, we derive the dispersion relation for the propagation of coupled long-waves: a surface wave and an internal wave. Also, we investigate the above-mentioned model of wave-current interactions in the general case with arbitrary vorticities.
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https://hal.archives-ouvertes.fr/hal-03334640
Contributor : Emil Novruzov Connect in order to contact the contributor
Submitted on : Tuesday, March 29, 2022 - 7:58:31 PM
Last modification on : Wednesday, June 8, 2022 - 4:44:58 PM

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Emil Novruzov. ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT. Communications in Mathematics, University of Ostrava, 2022, Volume 2, ⟨10.46298/ocnmp.8631⟩. ⟨hal-03334640v2⟩

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