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

ocnmp:8631 - Open Communications in Nonlinear Mathematical Physics, March 30, 2022, Volume 2 - https://doi.org/10.46298/ocnmp.8631
ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT

Authors: Emil Novruzov

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.


Volume: Volume 2
Published on: March 30, 2022
Accepted on: March 28, 2022
Submitted on: October 31, 2021
Keywords: [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]


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