Global stability of weak solutions for a multilayer Saint-Venant model with interactions between the layers - Centre d'études et d'expertise sur les risques, l'environnement, la mobilité et l'aménagement Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Hybrid Systems Année : 2017

Global stability of weak solutions for a multilayer Saint-Venant model with interactions between the layers

Résumé

In this paper we investigate the existence of global weak solutions for the multilayer model introduced by Audusse et al. which is related to incompressible free surface flows. We prove the global stability of weak solutions over the torus. We observe that this model admits the so called BD-entropy and a gain of integrability on the velocity in the spirit of the work of Mellet and Vasseur. It allows us to obtain enough compactness estimates in order to show the stability of global weak solutions.
Fichier principal
Vignette du fichier
global-stability-weak_v2.pdf (539.43 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01407886 , version 1 (02-12-2016)
hal-01407886 , version 2 (18-10-2017)

Identifiants

Citer

Bernard Di Martino, Boris Haspot, Yohan Penel. Global stability of weak solutions for a multilayer Saint-Venant model with interactions between the layers. Nonlinear Analysis: Hybrid Systems, 2017, 163, pp.177 - 200. ⟨10.1016/j.na.2017.07.010⟩. ⟨hal-01407886v2⟩
814 Consultations
291 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More