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 10 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 Lord Shulman thermoelastic Timoshenko model
Choucha, Abdelbaki
Saad, Sofian Abuelbacher Adam
Jan, Rashid
Boulaaras, Salah
AIMS MATHEMATICS, 2023, 8 (07): : 17246 - 17258
[3] 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
[4] 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)
[5] 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
[6] 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)
[7] 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)
[8] DECAY RATES OF THE SOLUTION TO THE CAUCHY PROBLEM OF THE TYPE III TIMOSHENKO MODEL WITHOUT ANY MECHANICAL DAMPING
Said-Houari, Belkacem
DEMONSTRATIO MATHEMATICA, 2015, 48 (03) : 379 - 390
[9] Optimal decay rate and blow-up of solution for a classical thermoelastic system with viscoelastic damping and nonlinear sources
Nhan, Le Cong
Nguyen, Y. Van
Truong, Le Xuan
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (05):
[10] Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms
Wu, Yuhu
Xue, Xiaoping
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (09)

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