Thermodynamic properties and stability for the heat flux equation with linear memory
Thermodynamic properties and stability for the heat flux equation with linear memory
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DOI：
10.1090/qam/1218373
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发表时间：
1993
影响因子：
0.8
通讯作者：
C. Giorgi;G. Gentili
中科院分区：
文献类型：
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作者：
C. Giorgi;G. Gentili
在具有记忆衰退的线性热传导理论中，本构方程的一些限制是热力学原理的直接结果。这些限制使我们能够获得热通量方程解的存在性、唯一性和稳定性结果。考虑了分别在瞬时电导率 kQ 为正或为零时发生的两个问题。
Within the linearized theory of heat conduction with fading memory, some restrictions on the constitutive equations are found as a direct consequence of thermodynamic principles. Such restrictions allow us to obtain existence, uniqueness, and stability results for the solution to the heat flux equation. Both problems, which respectively occur when the instantaneous conductivity kQ is positive or vanishes, are considered.