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On the controllability of the 1-D isentropic Euler equation

Glass, Olivier (2007), On the controllability of the 1-D isentropic Euler equation, Journal of the European Mathematical Society, 9, 3, p. 427-486. http://dx.doi.org/10.4171/JEMS/85

Type
Article accepté pour publication ou publié
Date
2007
Nom de la revue
Journal of the European Mathematical Society
Volume
9
Numéro
3
Éditeur
European Mathematical Society
Pages
427-486
Identifiant publication
Métadonnées
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Auteur(s)
Glass, Olivier
Résumé (EN)
We study the controllability problem for the one-dimensional Euler isentropic system, both in Eulerian and Lagrangian coordinates, by means of boundary controls, in the context of weak entropy solutions. We give a sufficient condition on the initial and final states under which the first one can be steered to the latter.
Mots-clés
Controllability; isentropic Euler equations; hyperbolic systems of conservation laws; entropy solutions; front-tracking algorithm