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On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity
Mathematics and Mechanics of Solids ( IF 1.7 ) Pub Date : 2021-02-24 , DOI: 10.1177/1081286521994258
Noelia Bazarra 1 , José R Fernández 1 , Ramón Quintanilla 2
Affiliation  

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.



中文翻译:

关于摩尔-吉布森-汤普森热弹性中的径向解的能量衰减

在本文中,我们考虑了Moore–Gibson–Thompson热弹性理论。我们将注意力集中在径向对称解上,并证明了相对于时间变量的指数衰减。我们借助能量论证证明了这一事实。稍后,我们提供一些数值模拟来说明此行为。

更新日期:2021-02-25
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