具有热流记忆的动态多孔热弹性介质中的圣维南原理
Saint-Venant's principle in dynamical porous thermoelastic media with memory for heat flux
摘要：
本文研究了具有记忆热流本构方程的线性热弹性多孔材料。提出了该模型的近似热力学理论，并确定了最大赝自由能。我们利用这种能量来研究多孔材料中热力学过程的空间行为。我们得到了影响域定理，并建立了影响域内的空间衰减估计。此外，我们证明了一个唯一性定理，适用于有限或无限体。物体不受任何关于无穷远处解的行为的先验假设的约束。
英文摘要：
In the present paper, we study a linear thermoelastic porous material with a constitutive equation for heat flux with memory. An approximated theory of thermodynamics is presented for this model and a maximal pseudo free energy is determined. We use this energy to study the spatial behaviour of the thermodynamic processes in porous materials. We obtain the domain of influence theorem and establish the spatial decay estimates inside of the domain of influence. Further, we prove a uniqueness theorem valid for finite or infinite body. The body is free of any kind of a priori assumptions concerning the behaviour of solutions at infinity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
