多孔介质动态热弹性随时间向后的空间行为
Spatial behaviour in dynamical thermoelasticity backward in time for porous media
摘要：
本文的目的是研究与含空洞弹性材料线性理论有关的边界-终值问题解的空间行为。更确切地说，本研究致力于多孔材料的记忆效应的内在平衡体力。一个适当的时间加权体积测量与向后的时间热弹性过程。然后，一个一阶偏微分不等式，在这样的措施，并进一步显示它如何意味着空间指数衰减的热弹性过程的问题。
英文摘要：
The aim of this paper is to study the spatial behaviour of the solutions to the boundary-final value problems associated with the linear theory of elastic materials with voids. More precisely the present study is devoted to porous materials with a memory effect for the intrinsic equilibrated body forces. An appropriate time-weighted volume measure is associated with the backward in time thermoelastic processes. Then, a first-order partial differential inequality in terms of such measure is established and further is shown how it implies the spatial exponential decay of the thermoelastic process in question.
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