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
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
收藏
页码:427 / 486
页数:60
相关论文
共 50 条
  • [11] Exact Controllability of the 1-D Wave Equation on Finite Metric Tree Graphs
    Sergei Avdonin
    Yuanyuan Zhao
    Applied Mathematics & Optimization, 2021, 83 : 2303 - 2326
  • [12] Exact boundary controllability of 3-D Euler equation
    Glass, O
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2000, 5 : 1 - 44
  • [13] No TVD Fields for 1-D Isentropic Gas Flow
    Chen, Geng
    Jenssen, Helge Kristian
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2013, 38 (04) : 629 - 657
  • [14] CONTROLLABILITY OF 1-D COUPLED DEGENERATE PARABOLIC EQUATIONS
    Cannarsa, Piermarco
    De Teresa, Luz
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
  • [15] Optimal Transport for the System of Isentropic Euler Equations
    Gangbo, Wilfrid
    Westdickenberg, Michael
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (09) : 1041 - 1073
  • [16] Flux approximation to the isentropic relativistic Euler equations
    Yang, Hanchun
    Zhang, Yu
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 133 : 200 - 227
  • [17] Exact boundary controllability for 1-D quasilinear wave equations
    Li Tatsien
    Yu Lixin
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (03) : 1074 - 1083
  • [18] EXACT BOUNDARY CONTROLLABILITY FOR 1-D QUASILINEAR HYPERBOLIC SYSTEMS WITH A VANISHING CHARACTERISTIC SPEED
    Coron, Jean-Michel
    Glass, Oliver
    Wang, Zhiqiang
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (05) : 3105 - 3122
  • [19] STOCHASTIC ISENTROPIC EULER EQUATIONS
    Berthelin, Florent
    Vovelle, Julien
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2019, 52 (01): : 181 - 254
  • [20] Uniqueness and energy balance for isentropic Euler equation with stochastic forcing
    Ghoshal, Shyam Sundar
    Jana, Animesh
    Sarkar, Barun
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61