The existence of non-Fourier heat conduction is known for a long time in small and low temperature systems. The deviation from Fourier's law has been found at room temperature in heterogeneous materials like rocks and metal foams \cite{Botetal16, Vanetal17}. These experiments emphasized that the so-called Guyer-Krumhansl equation is adequate for modeling complex materials. In this paper an analytic solution of Guyer-Krumhansl equation is presented considering boundary conditions from laser flash experiment. The solutions are validated with the help of a numerical code \cite{KovVan15} developed for generalized heat equations.

中文翻译：

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激光闪光实验Guyer-Krumhansl方程的解析解

在小型低温系统中，非傅立叶热传导的存在早已为人所知。在室温下，在岩石和金属泡沫等异质材料中发现了与傅立叶定律的偏差\cite{Botetal16, Vanetal17}。这些实验强调，所谓的 Guyer-Krumhansl 方程足以模拟复杂材料。本文考虑了激光闪光实验中的边界条件，给出了Guyer-Krumhansl方程的解析解。在为广义热方程开发的数值代码 \cite{KovVan15} 的帮助下，对解决方案进行了验证。