New Exponential Stability Result for Thermoelastic Laminated Beams with Structural Damping and Second Sound

被引:3
|
作者
Djellali, Fayssal [1 ]
Apalara, Tijani A. [2 ]
Saifia, Ouarda [3 ]
机构
[1] Badji Mokhtar Univ, Fac Sci, Dept Math, POB 12, Annaba 23000, Algeria
[2] Univ Hafr Al Batin UHB, Dept Math, Hafar al Batin 31991, Saudi Arabia
[3] Fac Sci & Technol, Dept Math, Eltarf 36000, Algeria
关键词
Laminated beam; Cattaneo's law; Exponential stability; Stability number; STABILIZATION; DECAY;
D O I
10.1007/s10440-023-00569-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates a system of thermoelastic laminated beams with structural damping where Maxwell-Cattaneo's law, popularly referred to as the second sound, governs the heat flux. We unexpectedly achieve an exponential stability result depending only on the wave speeds of the system instead of the complicated stability number introduced in some papers in the literature. Consequently, our result substantially improves some of the results in the literature.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] New Exponential Stability Result for Thermoelastic Laminated Beams with Structural Damping and Second Sound
    Fayssal Djellali
    Tijani A. Apalara
    Ouarda Saifia
    Acta Applicandae Mathematicae, 2023, 184
  • [3] Lack of exponential decay for a laminated beam with structural damping and second sound
    Liu, Wenjun
    Kong, Xiangyu
    Li, Gang
    ANNALES POLONICI MATHEMATICI, 2020, 124 (03) : 281 - 289
  • [4] Uniform stability of a laminated beam with structural damping and second sound
    Apalara, Tijani A.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (02):
  • [5] Uniform stability of a laminated beam with structural damping and second sound
    Tijani A. Apalara
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [6] Exponential stability for laminated beams with a frictional damping
    Tijani A. Apalara
    Carlos A. Raposo
    Carlos A. S. Nonato
    Archiv der Mathematik, 2020, 114 : 471 - 480
  • [7] Exponential stability for laminated beams with intermediate damping
    Victor R. Cabanillas
    Carlos A. Raposo
    Archiv der Mathematik, 2022, 118 (6) : 625 - 635
  • [8] Exponential stability for laminated beams with a frictional damping
    Apalara, Tijani A.
    Raposo, Carlos A.
    Nonato, Carlos A. S.
    ARCHIV DER MATHEMATIK, 2020, 114 (04) : 471 - 480
  • [9] Exponential stability for laminated beams with intermediate damping
    Cabanillas, Victor R.
    Raposo, Carlos A.
    ARCHIV DER MATHEMATIK, 2022, 118 (06) : 625 - 635
  • [10] Exponential stability for nonlinear thermoelastic equations with second sound
    Qin, Yuming
    Ma, Zhiyong
    Yang, Xinguang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2502 - 2513