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Spatial and temporal behavior in the theory of thermoelasticity for solids with double porosity

机译:双孔隙固体热弹性理论中的时空行为

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摘要

In this article, we study the spatial and the temporal behavior of solutions to the initial boundary value problem associated with the linear theory of thermoelastic materials with a double porosity structure. We consider two appropriate time-weighted integral measures and we deduce some exponential estimates that describe the spatial behavior of solutions. For bounded bodies, we obtain estimates of Saint-Venant type, while for unbounded bodies we deduce some alternatives of Phragmen-Lindelof type. The temporal behavior of solutions is described using the Cesaro means of various parts of the total energy.
机译:在本文中,我们研究具有双孔隙结构热弹性材料线性理论的初始边界值问题解的时空行为。我们考虑了两个适当的时间加权积分度量,并得出了一些描述解的空间行为的指数估计。对于有界物体,我们获得了Saint-Venant类型的估计,而对于无界物体,我们推导出了Phragmen-Lindelof类型的一些替代方案。使用总能量各个部分的Cesaro手段描述了解决方案的时间行为。

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