# On the controllability of the 1-D isentropic Euler equation

Journal of the European Mathematical Society (2007)

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

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topGlass, 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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