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...

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Veröffentlicht in:Open Communications in Nonlinear Mathematical Physics Jg. 2
1. Verfasser: Novruzov, Emil
Format: Journal Article
Sprache:Englisch
Veröffentlicht: International Society of Nonlinear Mathematical Physics 30.03.2022
Schlagworte:
[math.math-ds]mathematics [math]/dynamical systems [math.ds]
[math.math-mp]mathematics [math]/mathematical physics [math-ph]
Dynamical Systems
Mathematical Physics
Mathematics
ISSN:2802-9356, 2802-9356
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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.
AbstractList 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.
Author Novruzov, Emil
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Cites_doi 10.1007/978-3-662-55476-0
10.4213/rm6759
10.1016/j.jde.2021.01.007
10.1016/0951-8339(90)90001-8
10.1007/BF00913182
10.1080/03091929.2015.1066785
10.1090/cln/009
10.1007/s00021-016-0311-4
10.1007/s00220-019-03483-8
10.1175/JPO-D-15-0205.1
10.1007/s00205-016-0990-2
10.1002/cpa.20098
10.1007/s11511-017-0144-x
10.1175/1520-0442(1995)008<1757:OEWATE>2.0.CO;2
10.1080/03091929.2020.1748614
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Dynamical Systems
Mathematical Physics
Mathematics
Title ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT
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