Well-Posedness and Exponential Decay of the Thermoelastic Full Von Karman Beam with Second Sound and Discrete Delay Term

被引：0
|
作者：
Bouzettouta, Lamine [1 ]
机构：
[1] Univ 20 August 1955, Lab Appl Math & Hist & Didact Math LAMAHIS, Skikda, Algeria
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2024年 / 13卷 / 01期
关键词：
Stability; Full Von K ' arm ' an beam; thermal effect; Delay term; INFINITE MEMORY; STABILITY; BOUNDARY; EQUATION; SYSTEM; STABILIZATION; LIMIT; RATES;
D O I：
10.5890/JAND.2024.03.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The stabilization of one-dimensional thermoelastic system of full von Karman beam with a delayed linear frictional damping is considered, where the heat fux is given by Cattaneo's law. Under suitable assumption on the weight of the delay and that of frictional damping, we prove that the system is exponentially stable. The idea here, is to generalize some previous existing results by considering a delayed problem.
引用
收藏
页码：1 / 12
页数：12
相关论文
共 50 条
  • [21] Global Well-posedness and Exponential Stability Results of Bresse-Timoshenko System-type with Second Sound and Distributed Delay Term
    Atmania, Islah
    Zitouni, Salah
    Mesloub, Fatiha
    Ouchenane, Djamel
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 9 - 40
  • [22] Well-posedness and exponential stability of Timoshenko system of second sound with time-varying delay and forcing terms
    Khaldi O.
    Rahmoune A.
    Ouchenane D.
    Yazid F.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (2) : 331 - 358
  • [23] Well posedness and stability result for a microtemperature full von Karman beam with infinite-memory and distributed delay terms
    Choucha, Abdelbaki
    Ouchenane, Djamel
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (10) : 6411 - 6434
  • [24] Hadamard well-posedness of weak solutions in nonlinear dynamic elasticity-full von Karman systems
    Koch, H
    Lasiecka, I
    EVOLUTION EQUATIONS, SEMIGROUPS AND FUNCTIONAL ANALYSIS: IN MEMORY OF BRUNELLO TERRENI, 2002, 50 : 197 - 216
  • [25] Well-posedness and general decay of solution for a transmission problem with viscoelastic term and delay
    Wang, Danhua
    Li, Gang
    Zhu, Biqing
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1202 - 1215
  • [26] Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
    Cliff, E. M.
    Fulton, B.
    Herdman, T.
    Liu, Z.
    Spies, R. D.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) : 1097 - 1108
  • [27] Exponential stabilization of the full von Karman beam by a thermal effect and a frictional damping and distributed delay
    Bouzettouta, Lamine
    Abdelhak, Djebabla
    JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (04)
  • [28] Existence and general decay for the full von Karman beam with a thermo-viscoelastic damping, frictional dampings and a delay term
    Liu, Wenjun
    Chen, Kewang
    Yu, Jun
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (02) : 521 - 542
  • [29] Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
    Choucha, Abdelbaki
    Ouchenane, Djamel
    Boulaaras, Salah
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 9983 - 10004
  • [30] Well-posedness and general decay for Moore–Gibson–Thompson equation in viscoelasticity with delay term
    Abdelkader Braik
    Abderrahmane Beniani
    Khaled Zennir
    Ricerche di Matematica, 2022, 71 : 689 - 710
12345