Exponential stability in type III thermoelasticity with microtemperatures

被引：38

作者：

Magana, Antonio ^{[1
]}

Quintanilla, Ramon ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat, C Colom 11, Terrassa Barcelona 08222, Spain

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 05期

关键词：

Type III thermoelasticity; Microtemperatures; Exponential decay; CONTINUOUS DEPENDENCE; UNIFIED PROCEDURE; DEFORMABLE MEDIA; HEAT-CONDUCTION; ENERGY-DISSIPATION; TEMPERATURES; BODIES; THERMODYNAMICS; CONSTRUCTION; EQUATIONS;

D O I：

10.1007/s00033-018-1023-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the type III thermoelastic theory with microtemperatures. We study the time decay of the solutions and we prove that under suitable conditions for the constitutive tensors, the solutions decay exponentially. This fact is in somehow shocking because it differs from the behavior of the solutions in the classical model of thermoelasticity with microtemperatures.

引用

页数：8

共 45 条

[1] CONTINUOUS DEPENDENCE RESULTS FOR INITIALLY PRESTRESSED THERMOELASTIC BODIES [J].

AMES, K ;

STRAUGHAN, B .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1992, 30 (01) :7-13

[2]

Ames K.A., 1997, NONSTANDARD IMPROPER

[3]

[Anonymous], 2012, Microcontinuum field theories: I. Foundations and solidsM

[4]

[Anonymous], 2012, Semigroups of Linear Operators and Applications to Partial Differential Equations, DOI DOI 10.1007/978-1-4612-5561-1

[5] Thermoelastic theory with microtemperatures and dissipative thermodynamics [J].

Aouadi, Moncef ;

Ciarletta, Michele ;

Passarella, Francesca .

JOURNAL OF THERMAL STRESSES, 2018, 41 (04) :522-542

[6] Exponential stability in thermoelasticity with microtemperatures [J].

Casas, PS ;

Quintanilla, R .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (1-2) :33-47

[7]

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

[8] A NOTE ON NON-SIMPLE HEAT CONDUCTION [J].

CHEN, PJ ;

GURTIN, ME ;

WILLIAMS, WO .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (06) :969-&

[9] ON THERMODYNAMICS OF NON-SIMPLE ELASTIC MATERIALS WITH 2 TEMPERATURES [J].

CHEN, PJ ;

GURTIN, ME ;

WILLIAMS, WO .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1969, 20 (01) :107-&

[10] ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES [J].

CHEN, PJ .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04) :614-&

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