A new model for large amplitude long internal waves
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/274940
- author
- Craig, W ; Guyenne, P and Kalisch, Henrik LU
- organization
- publishing date
- 2004
- 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
- Elsevier Masson SAS
- 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
- 2016-04-01 12:08:14
- date last changed
- 2022-03-28 20:45:40
@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}}, keywords = {{fluid mechanics; internal waves Hamiltonian systems; Dirichlet-Neumann; operators}}, language = {{fre}}, number = {{7}}, pages = {{525--530}}, publisher = {{Elsevier Masson SAS}}, 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}}, doi = {{10.1016/j.crme.2004.02.026}}, volume = {{332}}, year = {{2004}}, }