Energy decay rate of transmission problem between thermoelasticity of type I and type II

被引：0
作者：
Jing Wang
Zhong-Jie Han
Gen-Qi Xu
机构：
[1] Tianjin University,School of Mathematics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2017年 / 68卷
关键词：
Thermoelasticity; Asymptotic behavior; Exponential decay; Polynomial decay; Stability; 35B40; 93D20; 74F05;
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摘要：
In this paper, the energy decay rate of a 1-d mixed type I and type II thermoelastic system is considered. The system consists of two kinds of thermoelastic components. One is the classical thermoelasticity (so-called type I), another one is nonclassical thermoelasticity without dissipation (named type II). These two components are coupled at the interface satisfying certain transmission condition. We prove that the system is lack of uniform exponential decay rate and further obtain the sharp polynomial decay rate by resolvent estimates together with the diagonalization argument in linear algebra. Moreover, we present some numerical simulations to support these theoretical results.
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