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Titre: | Weakly nonlinear gravity three-dimensional unbounded interfacial waves: perturbation method and variational formulation |
Auteur(s): | Salmi, Souad Allalou, N. Debiane, M. |
Mots-clés: | Harmonic resonance Short crested interfacial wave Perturbation method Variational for- mulation |
Date de publication: | 2021 |
Editeur: | Izvestiya RAN. Mekhanika Zhidkosti i Gaza |
Collection/Numéro: | Fluid dynamics/ Vol. 56,N°2(2021);pp.105–122 |
Résumé: | Weakly non-linear behaviour of interfacial short-crested waves with current is presented in this paper. Two approaches are used to determine analytical solutions. First, a perturbation method was applied to determine the fifth-order solutions. The advantage of this method is that it allows for
the determination of the harmonic resonance condition which is one of the major short-crested waves characteristics. The second method is Whitham’s Lagrangian approach. From this method, we obtained a quadratic dispersion equation. In the linear case, we have shown that there is a critical cur-
rent beyond which steady wave solutions cannot exist. This critical current is associated with the emer-
gence of instability. For the non-linear case, the critical current increases with the wave amplitude as in the two-dimensional case. |
URI/URL: | DOI: 10.1134/S0015462822010098 http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/14184 |
ISSN: | 0015-4628 |
Collection(s) : | Publications Internationales
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