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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.

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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Accepté le :
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DOI : https://doi.org/10.5802/afst.1525
Classification : 35C08,  35Q35,  37K45
Mots clés : Euler–Korteweg system, solitary waves, nonlinear instability
@article{AFST_2017_6_26_1_23_0,
     author = {Matthew Paddick},
     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 = {https://afst.centre-mersenne.org/articles/10.5802/afst.1525/}
}
Matthew Paddick. 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. https://afst.centre-mersenne.org/articles/10.5802/afst.1525/

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