J. Boussinesq and the standing water waves problem

Gérard Iooss

doi:10.1016/j.crme.2006.11.007

Boussinesq equation, surface waves in fluids

J. Boussinesq and the standing water waves problem

Presented by: Presented by

Gérard Iooss ¹

¹ IUF, Laboratoire J. Dieudonné, parc Valrose, 06108 Nice cedex 02, France

Comptes Rendus. Mécanique, Volume 335 (2007) no. 9-10, pp. 584-589.

Abstract
Résumé

In this short Note we present the original Boussinesq's contribution to the nonlinear theory of the two dimensional standing gravity water wave problem, which he defined as ‘le clapotis’.

Dans cette courte Note on présente, en la situant dans le contexte actuel, la contribution originale de Boussinesq sur la théorie non linéaire du « clapotis ».

Received: 2006-07-28
Accepted: 2006-11-03
Published online: 2007-09-01

DOI: 10.1016/j.crme.2006.11.007

Keywords: Fluid mechanics, Inviscid fluid flows, Gravity water waves, Standing waves, Bifurcations
Mot clés : Mécanique des fluides, Écoulements d'un fluide non visqueux, Ondes stationnaires, Bifurcations

Author's affiliations:

Gérard Iooss ¹

¹ IUF, Laboratoire J. Dieudonné, parc Valrose, 06108 Nice cedex 02, France

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     title = {J. {Boussinesq} and the standing water waves problem},
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Gérard Iooss. J. Boussinesq and the standing water waves problem. Comptes Rendus. Mécanique, Volume 335 (2007) no. 9-10, pp. 584-589. doi : 10.1016/j.crme.2006.11.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.11.007/

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