JournalsjemsVol. 9, No. 3pp. 427–486

On the controllability of the 1-D isentropic Euler equation

  • Olivier Glass

    Université Pierre et Marie Curie, Paris, France
On the controllability of the 1-D isentropic Euler equation cover
Download PDF

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.

Cite this article

Olivier Glass, On the controllability of the 1-D isentropic Euler equation. J. Eur. Math. Soc. 9 (2007), no. 3, pp. 427–486

DOI 10.4171/JEMS/85