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Stabilité asymptotique des ondes solitaires de l'équation de Benjamin–Bona–Mahony
[Asymptotic stability of solitary waves for the Benjamin–Bona–Mahony equation]
Comptes Rendus. Mathématique, Volume 337 (2003) no. 10, pp. 649-652.

We prove the asymptotic stability in H 1 () of the family of solitary waves for the Benjamin–Bona–Mahony equation. The proof is based on a Liouville type theorem on the flow around the solitary waves.

Nous montrons la stabilité asymptotique dans H 1 () de la famille des ondes solitaires de l'équation de Benjamin–Bona–Mahony. Nous obtenons ce résultat en montrant un théorème de rigidité du flot autour des ondes solitaires (un théorème de type Liouville).

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Accepted:
Published online:
DOI: 10.1016/j.crma.2003.10.003

Khaled El Dika 1

1 Laboratoire de mathématiques, Université Paris-Sud, 91405 Orsay, France
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Khaled El Dika. Stabilité asymptotique des ondes solitaires de l'équation de Benjamin–Bona–Mahony. Comptes Rendus. Mathématique, Volume 337 (2003) no. 10, pp. 649-652. doi : 10.1016/j.crma.2003.10.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.10.003/

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[3] K. El Dika, Asymptotic stability of solitary waves for the Benjamin–Bona–Mahony equation, en préparation

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