Transverse nonlinear instability of Euler–Korteweg solitons
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 26 (2017) no. 1, pp. 23-48.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.5802/afst.1525
Classification: 35C08, 35Q35, 37K45
Keywords: Euler–Korteweg system, solitary waves, nonlinear instability

Matthew Paddick 1

1 Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Matthew Paddick. Transverse nonlinear instability of Euler–Korteweg solitons. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 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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