On the controllability of the 1-D isentropic Euler equation

被引：1

作者：

Glass, Olivier ^{[1
]}

机构：

[1] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2007年 / 9卷 / 03期

关键词：

controllability; isentropic Euler equations; hyperbolic systems of conservation laws; entropy solutions; front-tracking algorithm; NONLINEAR HYPERBOLIC SYSTEMS; EXACT BOUNDARY CONTROLLABILITY; 2X2; CONSERVATION-LAWS; LOCAL-CONTROLLABILITY; ATTAINABLE SET; WEAK SOLUTIONS; GAS-DYNAMICS; EXISTENCE; WELL; WAVE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：427 / 486

页数：60

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