Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping

被引：2

作者：

Choucha, Abdelbaki ^{[1
,2
]}

Boulaaras, Salah ^{[3
]}

Guefaifia, Rafik ^{[3
]}

Jan, Rashid ^{[4
]}

机构：

[1] Amar Teleji Laghouat Univ, Fac Sci, Dept Mat Sci, Laghouat, Algeria

[2] Ghardaia Univ, Lab Math & Appl Sci, Ghardaia, Algeria

[3] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

[4] Univ Tenaga Nasl UNITEN, Inst Energy Infrastruct IEI, Coll Engn, Dept Civil Engn, Putrajaya Campus,Jalan IKRAM UNITEN, Kajang, Malaysia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年

关键词：

decay rate; Fourier transform; Lord-Shulman; mathematical operator; microtemperature damping; partial differential equations; thermoelasticity; CAUCHY-PROBLEM; BRESSE SYSTEM;

D O I：

10.1002/mma.10404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord-Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form (1 + t)(-1/8) in the case of absence of mechanical damping term.

引用

页数：17

共 18 条

[1] Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect
Choucha, Abdelbaki
Saad, Sofian Abuelbacher Adam
Jan, Rashid
Boulaaras, Salah
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
[2] Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect
Abdelbaki Choucha
Sofian Abuelbacher Adam Saad
Rashid Jan
Salah Boulaaras
Journal of Pseudo-Differential Operators and Applications, 2023, 14
[3] Decay rate of the solutions to the Lord Shulman thermoelastic Timoshenko model
Choucha, Abdelbaki
Saad, Sofian Abuelbacher Adam
Jan, Rashid
Boulaaras, Salah
AIMS MATHEMATICS, 2023, 8 (07): : 17246 - 17258
[4] On the existence and exponential decay rate of swelling porous thermoelastic system of Lord-Shulman type
Apalara, Tijani A.
Enyi, Cyril D.
Khan, Yasir
Ige, Aminat O.
JOURNAL OF THERMAL STRESSES, 2024, 47 (07) : 937 - 958
[5] Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with distributed delay
Choucha, Abdelbaki
Boulaaras, Salah
Jan, Rashid
Alnegga, Mohammad
DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
[6] Well posedness and stability result of Lord-Shulman system with microtemperature effects: The case ξμ∗ = μ02
Boudeliou, Marwa
Djebabla, Abdelhak
Apalara, Tijani A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (10) : 8171 - 8186
[7] WELL-POSEDNESS AND STABILITY OF DOUBLEWALL CARBON NANOTUBES TIMOSHENKO SYSTEM UNDER LORD-SHULMAN THERMOELASTICITY
Apalara, Tijani A.
Almutairi, Hassan A.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2025,
[8] On a Lord-Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results
Choucha, Abdelbaki
Boulaaras, Salah
Jan, Rashid
AFRIKA MATEMATIKA, 2024, 35 (01)
[9] Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term
Bouzettouta, Lamine
Boulkheloua, Chaima
Khochemane, Houssem Eddine
Karek, Widad
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (12)
[10] DECAY RATE OF THE TIMOSHENKO SYSTEM WITH ONE BOUNDARY DAMPING
Mercier, Denis
Regnier, Virginie
EVOLUTION EQUATIONS AND CONTROL THEORY, 2019, 8 (02): : 423 - 445

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