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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, in 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
Book title
Some Problems on Nonlinear Hyperbolic Equations and Applications
Book author
Li, Ta-Tsien; Peng, Yue-Jun; Rao, Bo-Peng
Publisher
World Scientific
ISBN
978-981-4322-88-1
Number of pages
464
Pages
332-343
Metadata
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Author(s)
Glass, Olivier
Abstract (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.
Subjects / Keywords
weak entropy solutions; boundary controllability; conservation laws