On montre que les solitons de l’équation d’Euler– Korteweg 2D, un modèle pour les fluides avec capillarité, sont orbitalement instables lorsqu’ils sont soumis à des perturbations transverses, en partant de leur instabilité linéaire.
We show that solitary waves for the 2D Euler– Korteweg model for capillary fluids display nonlinear orbital instability when subjected to transverse perturbations, based on their linear instability.
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Mots clés : Euler–Korteweg system, solitary waves, nonlinear instability
@article{AFST_2017_6_26_1_23_0,
author = {Paddick, Matthew},
title = {Transverse nonlinear instability of {Euler{\textendash}Korteweg} solitons},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {23--48},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 26},
number = {1},
year = {2017},
doi = {10.5802/afst.1525},
language = {en},
url = {http://www.numdam.org/articles/10.5802/afst.1525/}
}
TY - JOUR AU - Paddick, Matthew TI - Transverse nonlinear instability of Euler–Korteweg solitons JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2017 SP - 23 EP - 48 VL - 26 IS - 1 PB - Université Paul Sabatier, Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1525/ DO - 10.5802/afst.1525 LA - en ID - AFST_2017_6_26_1_23_0 ER -
%0 Journal Article %A Paddick, Matthew %T Transverse nonlinear instability of Euler–Korteweg solitons %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2017 %P 23-48 %V 26 %N 1 %I Université Paul Sabatier, Toulouse %U http://www.numdam.org/articles/10.5802/afst.1525/ %R 10.5802/afst.1525 %G en %F AFST_2017_6_26_1_23_0
Paddick, Matthew. Transverse nonlinear instability of Euler–Korteweg solitons. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 1, pp. 23-48. doi : 10.5802/afst.1525. http://www.numdam.org/articles/10.5802/afst.1525/
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