On the thermoelasticity with several dissipative mechanisms of type III

被引：4
|
作者：
Fernandez, Jose R. [1 ,3 ]
Quintanilla, Ramon [2 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada 1, Vigo, Spain
[2] Univ Politecn Cataluna, Dept Matemat, ESEIAAT, Terrassa, Barcelona, Spain
[3] Univ Vigo, Dept Matemat Aplicada 1, Campus Lagoas Marcosende s-n, Vigo 36310, Spain
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 08期
关键词：
dissipative mechanisms; exponential decay; semigroups; type III thermoelasticity; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; MIXTURES; DECAY;
D O I：
10.1002/mma.9055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is accepted that we cannot obtain the exponential decay of the solutions to the type III thermoelasticity when the dimension of the domain is greater than one. In this short note, we prove that we can show the exponential decay if we consider n2$$ {n} circumflex 2 $$ type III dissipative mechanisms whenever the coupling terms satisfy a certain condition.
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页码：9325 / 9331
页数：7
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