Asymptotic behaviors of internal waves

Bona, J.; Lannes, D.; Saut, J.-C.

doi:10.5802/jedp.49

Bona, J.¹ ; Lannes, D.² ; Saut, J.-C.³

¹ Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA.
² Ecole Normale Supérieure, DMA et CNRS UMR 8553, 45, rue d’Ulm, 75005 Paris, France.
³ Université de Paris-Sud et CNRS UMR 8628, Bât. 425, 91405 Orsay Cedex, France.

Journées équations aux dérivées partielles (2008), article no. 5, 17 p.

Résumé

We present here a systematic method of derivation of asymptotic models for internal waves, that is, for the propagation of waves at the interface of two fluids of different densities. Many physical regimes are investigated, depending on the physical parameters (depth of the fluids, amplitude and wavelength of the interface deformations). This systematic method allows us to recover the many models existing in the literature and to derive some new models, in particular in the case of large amplitude internal waves and two-dimensional interfaces. We also provide rigorous consistency results for these models. We refer to [5] for full details.

DOI : 10.5802/jedp.49

Affiliations des auteurs :

Bona, J. ¹ ; Lannes, D. ² ; Saut, J.-C. ³

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     publisher = {Groupement de recherche 2434 du CNRS},
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Bona, J.; Lannes, D.; Saut, J.-C. Asymptotic behaviors of internal waves. Journées équations aux dérivées partielles (2008), article  no. 5, 17 p. doi : 10.5802/jedp.49. http://www.numdam.org/articles/10.5802/jedp.49/

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