The null boundary controllability for the Mullins equation with periodic boundary conditions

被引：3
|
作者：
Oner, Isil [1 ]
机构：
[1] Gebze Tech Univ, Dept Math, Fac Sci, Darica, Turkiye
来源：
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA | 2023年 / 13卷 / 01期
关键词：
Null controllability; Mullins equation; Moment method; Periodic boundary condition; One-dimensional fourth order; parabolic equations; PARABOLIC EQUATIONS; OBSERVABILITY;
D O I：
10.11121/ijocta.2023.1283
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the null controllability of the Mullins equation with a con-trol acting on the periodic boundary. The main result proves that the system is controllable for a specific class of initial conditions and also identifies un-controllable states. Additionally, the existence and uniqueness theorem for the solution of the backward adjoint system is provided.
引用
收藏
页码：116 / 122
页数：7
相关论文
共 50 条
  • [1] Null controllability for a heat equation with periodic boundary conditions
    Oner, Isil
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (04): : 13 - 22
  • [2] NULL CONTROLLABILITY FOR A HEAT EQUATION WITH PERIODIC BOUNDARY CONDITIONS
    Oner, Isil
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (04): : 13 - 22
  • [3] BOUNDARY NULL CONTROLLABILITY FOR THE HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
    Chorfi, Salah-Eddine
    EL Guermai, Ghita
    Khoutaibi, Abdelaziz
    Maniar, Lahcen
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (02): : 542 - 566
  • [4] NULL CONTROLLABILITY FOR SEMILINEAR HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
    Khoutaibi, Abdelaziz
    Maniar, Lahcen
    Oukdach, Omar
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (06): : 1525 - 1546
  • [5] Null controllability of a linear KdV equation on an interval with special boundary conditions
    Guilleron, Jean-Philippe
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2014, 26 (03) : 375 - 401
  • [6] Null controllability of a linear KdV equation on an interval with special boundary conditions
    Jean-Philippe Guilleron
    [J]. Mathematics of Control, Signals, and Systems, 2014, 26 : 375 - 401
  • [7] The L∞-null controllability of parabolic equation with equivalued surface boundary conditions
    Lu, Qi
    Yin, Zhongqi
    [J]. ASYMPTOTIC ANALYSIS, 2013, 83 (04) : 355 - 378
  • [8] Null controllability of the heat equation with boundary Fourier conditions:: The linear case
    Fernandez-Cara, Enrique
    Gonzalez-Burgos, Manuel
    Guerrero, Sergio
    Puel, Jean-Pierre
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2006, 12 (03) : 442 - 465
  • [9] IMPULSE NULL APPROXIMATE CONTROLLABILITY FOR HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
    Chorfi, Salah-Eddine
    El Guermai, Ghita
    Maniar, Lahcen
    Zouhair, Walid
    [J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2023, 13 (03) : 1023 - 1046
  • [10] NULL CONTROLLABILITY FOR A HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS AND DRIFT TERMS
    Khoutaibi, Abdelaziz
    Maniar, Lahcen
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2020, 9 (02): : 535 - 559
12345