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
Book titleSome Problems on Nonlinear Hyperbolic Equations and Applications
Book authorLi, Ta-Tsien; Peng, Yue-Jun; Rao, Bo-Peng
Number of pages464
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Abstract (EN)In this paper, we consider a system of conservation laws introduced by DiPerna , from the point of view of boundary controllability, in the context of weak entropy solutions. Bressan and Coclite  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 / Keywordsweak entropy solutions; boundary controllability; conservation laws
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