Moore-Gibson-Thompson theory for thermoelastic dielectrics

被引：0
作者：
J. R. Fernández
R. Quintanilla
机构：
[1] University of Vigo,Department of Applied Mathematics I
[2] Polytechnic University of Catalonia,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2021年 / 42卷
关键词：
Moore-Gibson-Thompson (MGT) thermoelastic dielectrics; existence; semigroup; exponential decay; O343.6; 37N15; 74F05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. Second, we consider the case of a rigid solid and show the existence and the exponential decay of solutions. Third, we consider the thermoelastic case and obtain the existence and the stability of the solutions. Exponential decay of solutions in the one-dimensional case is also recalled.
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页码：309 / 316
页数：7
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