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| HAL : hal-00338939, version 1 |
| DOI : 10.1103/PhysRevE.71.026307 |
| Fiche détaillée |  Récupérer au format |
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| Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 71 (2005) 026307 |
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| Nonlinear Dynamics of Short Travelling Capillary-gravity Waves |
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| H. C. BorziR.A KraenkelMiguel Manna1A. Pereira2 |
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| (12/02/2005) |
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| We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-waves dynamics, we show that this system posseses (1+1) travelling waves solutions for almost all the values of the Bond number B (the special case B=1/3 is not studied). These waves become singular when their amplitude is larger than a threshold value, related to the velocity of the wave. The limit angle at the crest is then calculated. The stability of a wave train is also studied via a Benjamin-Feir modulational analysis. |
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| 1 : | LPTA - Laboratoire de Physique Théorique et Astroparticules |
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| 2 : | PMT - Laboratoire de Physique Mathématique et Théorique |
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| Domaine | : | Science non linéaire/Formation de Structures et Solitons |
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| capillary waves – gravity waves – flow instability |
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| hal-00338939, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00338939 | |
| oai:hal.archives-ouvertes.fr:hal-00338939 | |
| Contributeur : Logiciel Aigle | |
| Déposé pour le compte de : | |
| Soumis le : Vendredi 14 Novembre 2008, 17:05:38 | |
| Dernière modification le : Vendredi 14 Novembre 2008, 17:05:39 | |
