On the decay of the energy for radial solutions in Moore-Gibson-Thompson thermoelasticity

被引：17
作者：
Bazarra, Noelia [1 ]
Fernandez, Jose R. [1 ]
Quintanilla, Ramon [2 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada 1, Vigo, Spain
[2] Univ Politecn Cataluna, ESEIAAT, Dept Matemat, Barcelona, Spain
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2021年 / 26卷 / 10期
关键词：
Moore-Gibson-Thompson thermoelasticity; radial symmetry; energy decay; numerical simulations; EQUATION; STABILITY; MEMORY;
D O I：
10.1177/1081286521994258
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider the Moore-Gibson-Thompson thermoelastic theory. We restrict our attention to radially symmetric solutions and we prove the exponential decay with respect to the time variable. We demonstrate this fact with the help of energy arguments. Later, we give some numerical simulations to illustrate this behaviour.
引用
收藏
页码：1507 / 1514
页数：8
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