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| HAL : hal-00171606, version 1 |
| arXiv : 0709.1998 |
| Fiche détaillée |  Récupérer au format |
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| A Boussinesq system for two-way propagation of interfacial waves |
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| Hai Yen Nguyen 1Frédéric Dias 1 |
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| F. Dias Collaboration(s) |
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| (12/09/2007) |
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| The theory of internal waves between two layers of immiscible fluids is important both for its applications in oceanography and engineering, and as a source of interesting mathematical model equations that exhibit nonlinearity and dispersion. A Boussinesq system for two-way propagation of interfacial waves in a rigid lid configuration is derived. In most cases, the nonlinearity is quadratic. However, when the square of the depth ratio is close to the density ratio, the coefficients of the quadratic nonlinearities become small and cubic nonlinearities must be considered. The propagation as well as the collision of solitary waves and/or fronts is studied numerically. |
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| 1 : | Centre de Mathématiques et de Leurs Applications (CMLA) |
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CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan |
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| Domaine | : | Physique/Mécanique/Mécanique des fluides |
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| Boussinesq system – solitary waves |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00171606, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00171606 | |
| oai:hal.archives-ouvertes.fr:hal-00171606 | |
| Contributeur : Hai Yen Nguyen | |
| Soumis le : Mercredi 12 Septembre 2007, 16:32:09 | |
| Dernière modification le : Jeudi 13 Septembre 2007, 08:52:31 | |
