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Exponential Stability for a Thermoelastic Porous System with Microtemperatures Effects
Acta Applicandae Mathematicae ( IF 1.6 ) Pub Date : 2021-06-10 , DOI: 10.1007/s10440-021-00418-1
Houssem Eddine Khochemane

In this article, we consider a one-dimensional thermoelastic porous system with microtemperatures. Based on the energy method we show in the case of zero thermal conductivity that the dissipation given only by the microtemperatures is strong enough to produce an exponential stability irrespective of the wave speeds of the system or any other condition on the coefficients. The result of this paper is new and improves previous results in the literature.



中文翻译:

具有微温效应的热弹性多孔系统的指数稳定性

在本文中,我们考虑具有微温的一维热弹性多孔系统。基于能量方法,我们表明在零热导率的情况下,仅由微观温度给出的耗散强度足以产生指数稳定性,而与系统的波速或系数的任何其他条件无关。本文的结果是新的,并改进了文献中的先前结果。

更新日期:2021-06-10
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