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
TypeArticle accepté pour publication ou publié
Journal nameJournal of the European Mathematical Society
European Mathematical Society
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Abstract (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.
Subjects / KeywordsControllability; isentropic Euler equations; hyperbolic systems of conservation laws; entropy solutions; front-tracking algorithm
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Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches Glass, Olivier; Horsin, Thierry (2010) Article accepté pour publication ou publié