On the thermoelasticity with several dissipative mechanisms of type III

被引：4
|
作者：
Fernandez, Jose R. [1 ,3 ]
Quintanilla, Ramon [2 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada 1, Vigo, Spain
[2] Univ Politecn Cataluna, Dept Matemat, ESEIAAT, Terrassa, Barcelona, Spain
[3] Univ Vigo, Dept Matemat Aplicada 1, Campus Lagoas Marcosende s-n, Vigo 36310, Spain
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 08期
关键词：
dissipative mechanisms; exponential decay; semigroups; type III thermoelasticity; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; MIXTURES; DECAY;
D O I：
10.1002/mma.9055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is accepted that we cannot obtain the exponential decay of the solutions to the type III thermoelasticity when the dimension of the domain is greater than one. In this short note, we prove that we can show the exponential decay if we consider n2$$ {n} circumflex 2 $$ type III dissipative mechanisms whenever the coupling terms satisfy a certain condition.
引用
收藏
页码：9325 / 9331
页数：7
相关论文
共 50 条
  • [41] A Riesz Basis Approach to Exponential Stability in Thermoelasticity of Type III
    Wang, Jing
    Wang, Jun-Min
    2013 9TH ASIAN CONTROL CONFERENCE (ASCC), 2013,
  • [42] Thermomechanical Orthogonality in Nonlinear Type-III Thermoelasticity (GNIII)
    Kovalev, V. A.
    Radaye, Y. N.
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2012, 12 (03): : 72 - 82
  • [43] Bresse System in Thermoelasticity of Type III Acting on Shear Force
    M. L. Santos
    Journal of Elasticity, 2016, 125 : 185 - 216
  • [44] Existence and energy decay of a Bresse system with thermoelasticity of type III
    Djellali, F.
    Labidi, S.
    Taallah, F.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
  • [45] Existence and energy decay of a Bresse system with thermoelasticity of type III
    F. Djellali
    S. Labidi
    F. Taallah
    Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [46] Uniform stability result of laminated beams with thermoelasticity of type III
    Apalara, Tijani A.
    Ige, Aminat O.
    Enyi, Cyril D.
    Omaba, Mcsylvester E.
    AIMS MATHEMATICS, 2022, 8 (01): : 1090 - 1101
  • [47] FREQUENCY DOMAIN APPROACH FOR THE STABILIZATION OF TIMOSHENKO-TYPE SYSTEM OF THERMOELASTICITY OF TYPE III
    Soufyane, Abdelaziz
    Afilal, Mounir
    DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (01): : 15 - 30
  • [48] General decay for memory-type porous elastic system with thermoelasticity of type III
    Fayssal, Djellali
    RICERCHE DI MATEMATICA, 2024, 73 (03) : 1323 - 1341
  • [49] A uniform stability result for thermoelasticity of type III with boundary distributed delay
    Mustafa, Muhammad I.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 415 (01) : 148 - 158
  • [50] An incremental variational formulation of dissipative and non-dissipative coupled thermoelasticity for solids
    Swantje Bargmann
    Paul Steinmann
    Heat and Mass Transfer, 2008, 45
12345