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A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions

Glass, Olivier (2010), A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions, dans Li, Ta-Tsien; Peng, Yue-Jun; Rao, Bo-Peng, Some Problems on Nonlinear Hyperbolic Equations and Applications, World Scientific, p. 332-343

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Type
Chapitre d'ouvrage
Date
2010
Titre de l'ouvrage
Some Problems on Nonlinear Hyperbolic Equations and Applications
Auteurs de l’ouvrage
Li, Ta-Tsien; Peng, Yue-Jun; Rao, Bo-Peng
Éditeur
World Scientific
Isbn
978-981-4322-88-1
Nombre de pages
464
Pages
332-343
Métadonnées
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Auteur(s)
Glass, Olivier
Résumé (EN)
In this paper, we consider a system of conservation laws introduced by DiPerna [12], from the point of view of boundary controllability, in the context of weak entropy solutions. Bressan and Coclite [5] have shown that this system is not controllable when the solutions are of small total variation. We study the use of a large shock wave for the control.
Mots-clés
weak entropy solutions; boundary controllability; conservation laws