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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Glass, Olivier^1,2 

[1] Univ Paris 09, UMR 7534, CEREMADE, F-75775 Paris 16, France

[2] CNRS, F-75775 Paris 16, France

关键词: Boundary control;    Controllability;    Hyperbolic systems of conservation laws;    Entropy solutions;    Compressible fluids;   

DOI  :  10.1016/j.jde.2014.04.013

来源: Elsevier

【 摘 要 】

In this paper, we examine the question of the boundary controllability of the one-dimensional non-isentropic Euler equation for compressible polytropic gas, in the context of weak entropy solutions. We consider the system in Eulerian coordinates and the one in Lagrangian coordinates. We obtain for both systems a result of controllability toward constant states (with the limitation gamma < 5/3 on the adiabatic constant for the Lagrangian system). The solutions that we obtain remain of small total variation in space if the initial condition is itself of sufficiently small total variation. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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