Global stability of weak solutions for a multilayer Saint–Venant model with interactions between layers. (November 2017)

• Record Type: Journal Article
• Authors: Di Martino, Bernard; Haspot, Boris; Penel, Yohan
• Is Part Of: Nonlinear analysis. Volume 163(2017)
• Page Start: 177
• Page End: 200
• Publication Date: 2017-11
• Subjects: 35B65 -- 35Q35 -- 76D03; Navier–Stokes equations -- Free surface flow -- Degenerate viscosities -- Global weak solutions -- Saint–Venant model; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.07.010
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper concerns the global stability of weak solutions for the multilayer system introduced by Audusse et al., which models incompressible free surface flows. To do this, it is proven that this model admits the so called BD-entropy and a gain of integrability on the velocity. It allows to obtain enough compactness estimates in order to show the stability of global weak solutions.