[Cosymétrie équivariante et solutions « fronts » de l'équation de Dubreil–Jacotin–Long. 1ère partie : la limite Boussinesq]
On considère le problème d'écoulement bidimensionnel en ondes internes progressives dans un fluide parfait, à densité régulière voisine d'une stratification linéaire. On construit des solutions approchées de type « fronts » connectant un écoulement uniforme à un écoulement de cisaillement conjugué du premier mode. On montre que le nombre de branches de type « fronts » dépend essentiellement de l'échelle fine de la stratification de base.
The problem of two-dimensional internal travelling waves in a perfect fluid with smooth density being close to linear stratification is considered. Approximate front solutions connecting uniform flow with a conjugate shear flow of the first mode are constructed. It is demonstrated that the number of the front branches essentially depends on the fine-scale stratification for linear density background.
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@article{CRMATH_2003__337_11_753_0,
author = {Makarenko, Nikolai},
title = {Equivariant cosymmetry and front solutions of the {Dubreil{\textendash}Jacotin{\textendash}Long} equation. {Part} 1: {Boussinesq} limit},
journal = {Comptes Rendus. Math\'ematique},
pages = {753--756},
publisher = {Elsevier},
volume = {337},
number = {11},
year = {2003},
doi = {10.1016/j.crma.2003.09.035},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2003.09.035/}
}
TY - JOUR AU - Makarenko, Nikolai TI - Equivariant cosymmetry and front solutions of the Dubreil–Jacotin–Long equation. Part 1: Boussinesq limit JO - Comptes Rendus. Mathématique PY - 2003 SP - 753 EP - 756 VL - 337 IS - 11 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2003.09.035/ DO - 10.1016/j.crma.2003.09.035 LA - en ID - CRMATH_2003__337_11_753_0 ER -
%0 Journal Article %A Makarenko, Nikolai %T Equivariant cosymmetry and front solutions of the Dubreil–Jacotin–Long equation. Part 1: Boussinesq limit %J Comptes Rendus. Mathématique %D 2003 %P 753-756 %V 337 %N 11 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2003.09.035/ %R 10.1016/j.crma.2003.09.035 %G en %F CRMATH_2003__337_11_753_0
Makarenko, Nikolai. Equivariant cosymmetry and front solutions of the Dubreil–Jacotin–Long equation. Part 1: Boussinesq limit. Comptes Rendus. Mathématique, Tome 337 (2003) no. 11, pp. 753-756. doi : 10.1016/j.crma.2003.09.035. http://www.numdam.org/articles/10.1016/j.crma.2003.09.035/
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