ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT - Archive ouverte HAL
Article Dans Une Revue Open Communications in Nonlinear Mathematical Physics Année : 2022

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

Emil Novruzov
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Résumé

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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Dates et versions

hal-03334640 , version 1 (04-09-2021)
hal-03334640 , version 2 (29-03-2022)

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Citer

Emil Novruzov. ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT. Open Communications in Nonlinear Mathematical Physics, 2022, Volume 2, ⟨10.46298/ocnmp.8631⟩. ⟨hal-03334640v2⟩

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