Exponential stability in type III thermoelasticity with microtemperatures

被引：0
作者：
Antonio Magaña
Ramón Quintanilla
机构：
[1] Universitat Politècnica de Catalunya,Departament de Matemàtiques
来源：
Zeitschrift für angewandte Mathematik und Physik | 2018年 / 69卷
关键词：
Type III thermoelasticity; Microtemperatures; Exponential decay; 74F05; 74H40; 74A60; 35Q74;
D O I：
暂无
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学科分类号：
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.
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  • [1] Ames KA(1992)Continuous dependence results for initially prestressed thermoelastic bodies Int. J. Eng. Sci. 30 7-13
  • [2] Straughan B(2018)Thermoelastic theory with microtemperatures and dissipative thermodynamics J. Therm. Stress. 41 522-542
  • [3] Aouadi M(2005)Exponential stability in thermoelasticity with microtemperatures I. J. Eng. Sci. 43 33-47
  • [4] Ciarletta M(1958)On a form of heat equation which eliminates the paradox of instantaneous propagation C. R. Acad. Sci. Paris 247 431-433
  • [5] Passarella F(1968)On a theory of heat involving two temperatures J. Appl. Math. Phys. (ZAMP) 19 614-627
  • [6] Casas P(1968)A note on non-simple heat conduction J. Appl. Math. Phys. (ZAMP) 19 969-970
  • [7] Quintanilla R(1969)On the thermodynamics of non-simple materials with two temperatures J. Appl. Math. Phys. (ZAMP) 20 107-112
  • [8] Cattaneo C(2013)On the theory of thermoelasticity with microtemperatures J. Math. Anal. Appl. 397 349-361
  • [9] Chen PJ(2010)Structural stability for a rigid body with thermal microstructure Int. J. Eng. Sci. 48 592-598
  • [10] Gurtin ME(1972)Thermoelasticity J. Elasticity 2 1-7
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