Asymptotic behaviors of internal waves

J. Bona[1]; D. Lannes[2]; J.-C. Saut[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)

  • Volume: 89, Issue: 6, page 1-17
  • ISSN: 0752-0360

Abstract

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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.

How to cite

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Bona, J., Lannes, D., and Saut, J.-C.. "Asymptotic behaviors of internal waves." Journées Équations aux dérivées partielles 89.6 (2008): 1-17. <http://eudml.org/doc/10637>.

@article{Bona2008,
abstract = {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.},
affiliation = {Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA.; Ecole Normale Supérieure, DMA et CNRS UMR 8553, 45, rue d’Ulm, 75005 Paris, France.; Université de Paris-Sud et CNRS UMR 8628, Bât. 425, 91405 Orsay Cedex, France.},
author = {Bona, J., Lannes, D., Saut, J.-C.},
journal = {Journées Équations aux dérivées partielles},
keywords = {rigid lid; flat bottom; nonlocal operators; Euler equations},
language = {eng},
month = {6},
number = {6},
pages = {1-17},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Asymptotic behaviors of internal waves},
url = {http://eudml.org/doc/10637},
volume = {89},
year = {2008},
}

TY - JOUR
AU - Bona, J.
AU - Lannes, D.
AU - Saut, J.-C.
TI - Asymptotic behaviors of internal waves
JO - Journées Équations aux dérivées partielles
DA - 2008/6//
PB - Groupement de recherche 2434 du CNRS
VL - 89
IS - 6
SP - 1
EP - 17
AB - 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.
LA - eng
KW - rigid lid; flat bottom; nonlocal operators; Euler equations
UR - http://eudml.org/doc/10637
ER -

References

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