On the blow-up scenario for some modified Serre–Green–Naghdi equations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2022

On the blow-up scenario for some modified Serre–Green–Naghdi equations

Résumé

The present paper deals with a modified Serre–Green–Naghdi (mSGN) system that has been introduced by Clamond et al. to improve the dispersion relation. We present a precise blow-up scenario of the mSGN equations and we prove the existence of a class of solutions that develop singularities in finite time. All the presented results hold also for the Serre–Green–Naghdi system with weak surface tension.
Fichier principal
Vignette du fichier
SGN.pdf (343.54 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03264688 , version 1 (18-06-2021)
hal-03264688 , version 2 (05-07-2022)

Identifiants

  • HAL Id : hal-03264688 , version 1

Citer

Billel Guelmame. On the blow-up scenario for some modified Serre–Green–Naghdi equations. Nonlinear Analysis: Theory, Methods and Applications, In press. ⟨hal-03264688v1⟩
274 Consultations
192 Téléchargements

Partager

Gmail Facebook X LinkedIn More