• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV

Coron, Jean-Luc; Ervedoza, Sylvain; Ghoshal, Shyam; Glass, Olivier; Perrollaz, Vincent (2017), Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV, Journal of Differential Equations, 262, 1, p. 1-30. 10.1016/j.jde.2016.09.016

View/Open
Feedback-13-11-2015.pdf (398.4Kb)
Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01244280
Date
2017
Journal name
Journal of Differential Equations
Volume
262
Number
1
Publisher
Academic Press
Pages
1-30
Publication identifier
10.1016/j.jde.2016.09.016
Metadata
Show full item record
Author(s)
Coron, Jean-Luc
Ervedoza, Sylvain
Ghoshal, Shyam
Glass, Olivier
Perrollaz, Vincent
Abstract (EN)
In this article, we investigate the BV stability of hyperbolic systems of conservation laws with strictly positive velocities under dissipative boundary conditions. More precisely, we derive sufficient conditions guaranteeing the exponential stability of the system under consideration for entropy solutions in BV. Our proof is based on a front tracking algorithm used to construct approximate piecewise constants solutions whose BV norms are controlled through a Lyapunov functional. This Lyapunov functional is inspired by the one proposed in J. Glimm's seminal work [16], modified with some suitable weights in the spirit of the previous works [9,10].
Subjects / Keywords
BV; Lyapunov functional

Related items

Showing items related by title and author.

  • Thumbnail
    A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions 
    Glass, Olivier (2010) Chapitre d'ouvrage
  • Thumbnail
    Exact Boundary Controllability for 1-D Quasilinear Hyperbolic Systems with a Vanishing Characteristic Speed 
    Coron, Jean-Michel; Glass, Olivier; Wang, Zhiqiang (2009) Article accepté pour publication ou publié
  • Thumbnail
    On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions 
    Marchesani, Stefano; Olla, Stefano (2020) Article accepté pour publication ou publié
  • Thumbnail
    On compactness estimates for hyperbolic systems of conservation laws 
    Nguyen, Khai T.; Glass, Olivier; Ancona, Fabio (2015) Article accepté pour publication ou publié
  • Thumbnail
    Uniform observability estimates for the 1-D discretized wave equation and the random choice method 
    Coron, Jean-Michel; Ervedoza, Sylvain; Glass, Olivier (2009) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo