ASYMPTOTIC STABILITY FOR SOME NON POSITIVE PERTURBATIONS OF THE CAMASSA-HOLM PEAKON WITH APPLICATION TO THE ANTIPEAKON-PEAKON PROFILE - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2018

ASYMPTOTIC STABILITY FOR SOME NON POSITIVE PERTURBATIONS OF THE CAMASSA-HOLM PEAKON WITH APPLICATION TO THE ANTIPEAKON-PEAKON PROFILE

Luc Molinet

Résumé

We continue our investigation on the asymptotic stability of the peakon. In a first step we extend our asymptotic stability result [29] in the class of functions whose negative part of the momentum density is supported in ] − ∞, x 0 ] and the positive part in [x 0 , +∞[ for some x 0 ∈ R. In a second step this enables us to prove the asymptotic stability of well-ordered train of antipeakons-peakons and, in particular, of the antipeakon-peakon profile.
Fichier principal
Vignette du fichier
AsymptStabilityHAL.pdf (271.13 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01768579 , version 1 (17-04-2018)
hal-01768579 , version 2 (03-07-2018)

Identifiants

Citer

Luc Molinet. ASYMPTOTIC STABILITY FOR SOME NON POSITIVE PERTURBATIONS OF THE CAMASSA-HOLM PEAKON WITH APPLICATION TO THE ANTIPEAKON-PEAKON PROFILE. 2018. ⟨hal-01768579v1⟩
86 Consultations
89 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More