no. 7-8
Partial differential equations
KAM for quasi-linear KdV
[KAM pour KdV quasi-linéaire]

Présenté par : Gérard Iooss

Baldi, Pietro1 ; Berti, Massimiliano2 ; Montalto, Riccardo2
1 Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università di Napoli Federico II, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy
2 SISSA, Via Bonomea 265, 34136 Trieste, Italy
Comptes Rendus. Mathématique, Tome 352 (2014) no. 7-8, pp. 603-607.

Nous prouvons l'existence de solutions quasi périodiques linéairement stables pour des perturbations hamiltoniennes autonomes quasi linéaires de l'équation KdV.

We prove the existence and stability of Cantor families of quasi-periodic, small-amplitude solutions of quasi-linear autonomous Hamiltonian perturbations of KdV.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.04.012
Baldi, Pietro 1 ; Berti, Massimiliano 2 ; Montalto, Riccardo 2

1 Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università di Napoli Federico II, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy
2 SISSA, Via Bonomea 265, 34136 Trieste, Italy 
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Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo. KAM for quasi-linear KdV. Comptes Rendus. Mathématique, Tome 352 (2014) no. 7-8, pp. 603-607. doi : 10.1016/j.crma.2014.04.012. http://www.numdam.org/articles/10.1016/j.crma.2014.04.012/

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