New stability result for bresse system with dual-phase-lag thermoelasticity

被引：2

作者：

Bouraoui, Hamed Abderrahmane ^{[1
]}

Djebabla, Abdelhak ^{[2
]}

El Arwadi, Toufic ^{[3
]}

机构：

[1] Badji Mokhtar Univ, Numer Anal Optimizat & Stat Lab, Annaba, Algeria

[2] Badji Mokhtar Univ, Lab Math Dynam & Modelizat, Annaba, Algeria

[3] Beirut Arab Univ, Fac Sci, Dept Math & Comp Sci, Debbieh, Lebanon

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 16期

关键词：

Stability; bresse system; energy method; thermoelasticity; dual-phase-lag; ASYMPTOTIC STABILITY; DECAY;

D O I：

10.1080/00036811.2024.2332400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the study of the time decay of the one-dimensional thermoelastic Bresse system where the dual-phase-lag heat conduction theory is used to model the heat transfer. In this theory, two relaxation parameters tau(q) and tau(theta) are proposed. By using the multplier method, we prove that the system is dissipative if 2 tau(theta )> tau(q) and exponentially stable by introducing a new stability number chi(1). This result substantially improves earlier results in the literature.

引用

页码：3049 / 3066

页数：18

共 24 条

[1] On the exponential and polynomial stability for a linear Bresse system [J].

Afilal, M. ;

Guesmia, A. ;

Soufiyane, A. ;

Zahri, M. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (05) :2626-2645

[2] Decay rates of the solution of the Cauchy thermoelastic Bresse system [J].

Afilal, Mounir ;

Merabtene, Tarek ;

Rhofir, Karim ;

Soufyane, Abdelaziz .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (05)

[3] Asymptotic behavior of weakly dissipative Bresse-Timoshenko system on influence of the second spectrum of frequency [J].

Almeida Junior, D. S. ;

Ramos, A. J. A. ;

Santos, M. L. ;

Gutemberg, L. R. M. .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2018, 98 (08) :1320-1333

[4] Uniform stability of a non-autonomous semilinear Bresse system with memory [J].

Araújo R.O. ;

Marinho S.S. ;

Prates Filho J.S. .

Applied Mathematics and Computation, 2021, 387

[5] Thermoelastic Bresse system with dual-phase-lag model [J].

Bazarra, Noelia ;

Bochicchio, Ivana ;

Fernandez, Jose R. ;

Naso, Maria Grazia .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (03)

[6]

Bresse JAC, 1959, COURS MECANIQUE APPL

[7]

CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431

[8] GENERAL CONDITION FOR EXPONENTIAL STABILITY OF THERMOELASTIC BRESSE SYSTEMS WITH CATTANEO'S LAW [J].

de Lima, Pedro Roberto ;

Fernandez Sare, Hugo D. .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (07) :3575-3596

[9] Stability of thermoelastic Bresse systems [J].

de Lima, Pedro Roberto ;

Fernandez Sare, Hugo D. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (01)

[10] Asymptotic stability of thermoelastic systems of Bresse type [J].

Dell'Oro, Filippo .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (11) :3902-3927

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