On wave solutions of the heat-conduction equation
On wave solutions of the heat-conduction equation
复制标题
关于热传导方程的波解
DOI：
10.1016/0017-9310(76)90027-2
复制
发表时间：
1976
影响因子：
5.2
通讯作者：
I. Soloviev
中科院分区：
文献类型：
--
作者：
A. Luikov;V. Bubnov;I. Soloviev
给出了抛物型热传导方程波动方程的一些例子。他们的错误被证明。本文进一步推导了以等温线沿着法线的位移速度为实验参数的双曲型热传导方程，并以双曲型热传导方程为基础对上述实例进行了分析，证明了其正确性。
Some examples are presented of wave equations of a parabolic-type heat-conduction equation. Their incorrectness is demonstrated. Further the derivation is presented of the hyperbolic heat-conduction equation wherein the velocity of isotherm displacement along the normal is used as an experimental parameter.The above examples are analysed on the basis of the heat-conduction equations of a hyperbolic type and their correctness is proved following Hadamard.