Thermoelasticity of Moore-Gibson-Thompson type with history dependence in the temperature

被引：100

作者：

Conti, Monica ^{[1
]}

Pata, Vittorino ^{[1
]}

Quintanilla, Ramon ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy

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

来源：

ASYMPTOTIC ANALYSIS | 2020年 / 120卷 / 1-2期

关键词：

Moore-Gibson-Thompson equation; relaxation parameter; memory kernel; thermoelasticity; solution semigroup; exponential stability; EXPONENTIAL STABILITY; STRUCTURAL STABILITY; III THERMOELASTICITY; EQUATION; MEMORY; DECAY; VISCOELASTICITY; CONVERGENCE; WAVES; MEDIA;

D O I：

10.3233/ASY-191576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore-Gibson-Thompson equation, arising via the introduction of a relaxation parameter in the Green-Naghdi type III theory. The well-posedness of the resulting integro-differential system is discussed. In the one-dimensional case, the exponential decay of the energy is proved.

引用

页码：1 / 21

页数：21

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