10.46298/ocnmp.8631
https://ocnmp.episciences.org/8631
Novruzov, Emil
Emil
Novruzov
ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT
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.
episciences.org
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
2022-03-28
2022-03-30
2022-03-30
en
journal article
https://hal.archives-ouvertes.fr/hal-03334640v2
2802-9356
https://ocnmp.episciences.org/8631/pdf
VoR
application/pdf
Open Communications in Nonlinear Mathematical Physics
Volume 2
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