Geodesic
On the controllability of the 1-D isentropic Euler equation
Journal of the European Mathematical Society, Tome 9 (2007) no. 3, pp. 427-486

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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.
DOI : 10.4171/jems/85
Classification : 35-XX, 93-XX, 00-XX
Keywords: Controllability, isentropic Euler equations, hyperbolic systems of conservation laws, entropy solutions, front-tracking algorithm 
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     author = {Olivier Glass},
     title = {On the controllability of the {1-D} isentropic {Euler} equation},
     journal = {Journal of the European Mathematical Society},
     pages = {427--486},
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     volume = {9},
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     year = {2007},
     doi = {10.4171/jems/85},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/85/}
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Olivier Glass. On the controllability of the 1-D isentropic Euler equation. Journal of the European Mathematical Society, Tome 9 (2007) no. 3, pp. 427-486. doi: 10.4171/jems/85

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