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A new model for large amplitude long internal waves

Craig, W; Guyenne, P and Kalisch, Henrik LU (2004) In Comptes Rendus. Mecanique 332(7). p.525-530
Abstract
We derive a new model for the description of large amplitude internal waves in a two-fluid system. The displacement of the interface between the two fluids is assumed to be of small slope, but no smallness assumption is made on the wave amplitude. The derivation of the model is based on the perturbation theory for Hamiltonian systems. In the case of a single fluid layer, the model reduces to the classical shallow water regime for surface water waves. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
fluid mechanics, internal waves Hamiltonian systems, Dirichlet-Neumann, operators
in
Comptes Rendus. Mecanique
volume
332
issue
7
pages
525 - 530
publisher
Editions scientifiques Elsevier
external identifiers
  • wos:000222204800007
  • scopus:2542609863
ISSN
1873-7234
DOI
10.1016/j.crme.2004.02.026
language
French
LU publication?
yes
id
3f0b4cd7-b27a-4868-8bed-44486f946ee7 (old id 274940)
date added to LUP
2007-08-02 11:32:24
date last changed
2017-08-13 03:38:55
@article{3f0b4cd7-b27a-4868-8bed-44486f946ee7,
  abstract     = {We derive a new model for the description of large amplitude internal waves in a two-fluid system. The displacement of the interface between the two fluids is assumed to be of small slope, but no smallness assumption is made on the wave amplitude. The derivation of the model is based on the perturbation theory for Hamiltonian systems. In the case of a single fluid layer, the model reduces to the classical shallow water regime for surface water waves. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.},
  author       = {Craig, W and Guyenne, P and Kalisch, Henrik},
  issn         = {1873-7234},
  keyword      = {fluid mechanics,internal waves Hamiltonian systems,Dirichlet-Neumann,operators},
  language     = {fre},
  number       = {7},
  pages        = {525--530},
  publisher    = {Editions scientifiques Elsevier},
  series       = {Comptes Rendus. Mecanique},
  title        = {A new model for large amplitude long internal waves},
  url          = {http://dx.doi.org/10.1016/j.crme.2004.02.026},
  volume       = {332},
  year         = {2004},
}