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.
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.
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Nikolai Makarenko 1
@article{CRMATH_2003__337_11_753_0, author = {Nikolai Makarenko}, 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}, }
TY - JOUR AU - Nikolai Makarenko 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 DO - 10.1016/j.crma.2003.09.035 LA - en ID - CRMATH_2003__337_11_753_0 ER -
Nikolai Makarenko. Equivariant cosymmetry and front solutions of the Dubreil–Jacotin–Long equation. Part 1: Boussinesq limit. Comptes Rendus. Mathématique, Volume 337 (2003) no. 11, pp. 753-756. doi : 10.1016/j.crma.2003.09.035. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.09.035/
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