On the controllability of the 1-D isentropic Euler equation
Journal of the European Mathematical Society, Tome 9 (2007) no. 3, pp. 427-486
Cet article a éte moissonné depuis la source EMS Press
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.
Classification :
35-XX, 93-XX, 00-XX
Keywords: Controllability, isentropic Euler equations, hyperbolic systems of conservation laws, entropy solutions, front-tracking algorithm
Keywords: Controllability, isentropic Euler equations, hyperbolic systems of conservation laws, entropy solutions, front-tracking algorithm
@article{JEMS_2007_9_3_a2,
author = {Olivier Glass},
title = {On the controllability of the {1-D} isentropic {Euler} equation},
journal = {Journal of the European Mathematical Society},
pages = {427--486},
year = {2007},
volume = {9},
number = {3},
doi = {10.4171/jems/85},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/85/}
}
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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