Galerkin method for nonlocal mixed boundary value problem for the Moore-Gibson-Thompson equation with integral condition

被引:12
|
作者
Boulaaras, Salah [1 ,2 ]
Zarai, Abderrahmane [3 ]
Draifia, Alaeddin [3 ]
机构
[1] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia
[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Oran, Algeria
[3] Larbi Tebessi Univ, Dept Math & Comp Sci, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria
关键词
approximate solution; Galerkin method; Moore-Gibson-Thompson equation; nonlocal condition; MEMORY; DECAY;
D O I
10.1002/mma.5540
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are going to deal with the nonlocal mixed boundary value problem for the Moore-Gibson-Thompson equation. Galerkin method was the main used tool for proving the solvability of the given nonlocal problem.
引用
收藏
页码:2664 / 2679
页数:16
相关论文
共 50 条
  • [31] A Moore-Gibson-Thompson heat conduction problem with second gradient
    Bazarra, Noelia
    Fernandez, Jose R.
    Quintanilla, Ramon
    MATHEMATICS AND MECHANICS OF SOLIDS, 2024,
  • [32] On the Moore-Gibson-Thompson Equation and Its Relation to Linear Viscoelasticity
    Dell'Oro, Filippo
    Pata, Vittorino
    APPLIED MATHEMATICS AND OPTIMIZATION, 2017, 76 (03): : 641 - 655
  • [33] A note on the Moore-Gibson-Thompson equation with memory of type II
    Dell'Oro, Filippo
    Lasiecka, Irena
    Pata, Vittorino
    JOURNAL OF EVOLUTION EQUATIONS, 2020, 20 (04) : 1251 - 1268
  • [34] Continuous dependence and convergence for a Moore-Gibson-Thompson thermoelastic problem
    Fernandez, Jose R.
    Pellicer, Marta
    Quintanilla, Ramon
    MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2024, 52 (08) : 5071 - 5087
  • [35] Mathematical modelling of micropolar thermoelastic problem with nonlocal and hyperbolic two-temperature based on Moore-Gibson-Thompson heat equation
    Kumar, Rajneesh
    Kaushal, Sachin
    Kochar, Arun
    CANADIAN JOURNAL OF PHYSICS, 2023, 101 (11) : 663 - 672
  • [36] Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics
    Lizama, Carlos
    Zamorano, Sebastian
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (12) : 7813 - 7843
  • [37] Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation
    Alvarez, Edgardo
    Lizama, Carlos
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (01)
  • [38] Stability in Inverse Problem of Determining Two Parameters for the Moore-Gibson-Thompson Equation with Memory Terms
    Fu, Songren
    Chen, Liangbiao
    Zhang, Ji-Feng
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2024, : 2368 - 2389
  • [39] New general decay results for a Moore-Gibson-Thompson equation with memory
    Liu, Wenjun
    Chen, Zhijing
    Chen, Dongqin
    APPLICABLE ANALYSIS, 2020, 99 (15) : 2622 - 2640
  • [40] General decay rate for a Moore-Gibson-Thompson equation with infinite history
    Liu, Wenjun
    Chen, Zhijing
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (02):