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New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions
Computational and Applied Mathematics ( IF 2.5 ) Pub Date : 2021-03-18 , DOI: 10.1007/s40314-021-01459-w Abdelaziz Limam , Yamna Boukhatem , Benyattou Benabderrahmane
中文翻译:
具有声边界条件的第二声音的变系数热粘弹性耦合系统的新一般稳定性
更新日期:2021-03-19
Computational and Applied Mathematics ( IF 2.5 ) Pub Date : 2021-03-18 , DOI: 10.1007/s40314-021-01459-w Abdelaziz Limam , Yamna Boukhatem , Benyattou Benabderrahmane
In this paper, we consider a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions, where the heat conduction is given by Cattaneo’s law. We establish a general decay of energy-associated solutions under a class of generality of the relaxation function. Our result extends the various decay results obtained for problems with or without thermo-viscoelasticity.
中文翻译:
具有声边界条件的第二声音的变系数热粘弹性耦合系统的新一般稳定性
在本文中,我们考虑了具有声边界条件的第二声音的变系数热粘弹性耦合系统,其中热传导由卡塔尼奥定律给出。我们在松弛函数的一般性类别下建立了能量相关解的一般衰减。我们的结果扩展了针对具有或不具有热粘弹性问题的各种衰减结果。