On the controllability of the 1-D isentropic Euler equation

Olivier Glass

Journal of the European Mathematical Society (2007)

  • Volume: 009, Issue: 3, page 427-486
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Glass, Olivier. "On the controllability of the 1-D isentropic Euler equation." Journal of the European Mathematical Society 009.3 (2007): 427-486. <http://eudml.org/doc/277726>.

@article{Glass2007,
abstract = {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.},
author = {Glass, Olivier},
journal = {Journal of the European Mathematical Society},
keywords = {controllability; isentropic Euler equations; hyperbolic systems of conservation laws; entropy solutions; front-tracking algorithm; controllability; isentropic Euler equations; hyperbolic systems of conservation laws; Eulerian coordinates; Lagrangian coordinates; boundary controls; weak entropy solutions},
language = {eng},
number = {3},
pages = {427-486},
publisher = {European Mathematical Society Publishing House},
title = {On the controllability of the 1-D isentropic Euler equation},
url = {http://eudml.org/doc/277726},
volume = {009},
year = {2007},
}

TY - JOUR
AU - Glass, Olivier
TI - On the controllability of the 1-D isentropic Euler equation
JO - Journal of the European Mathematical Society
PY - 2007
PB - European Mathematical Society Publishing House
VL - 009
IS - 3
SP - 427
EP - 486
AB - 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.
LA - eng
KW - controllability; isentropic Euler equations; hyperbolic systems of conservation laws; entropy solutions; front-tracking algorithm; controllability; isentropic Euler equations; hyperbolic systems of conservation laws; Eulerian coordinates; Lagrangian coordinates; boundary controls; weak entropy solutions
UR - http://eudml.org/doc/277726
ER -

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