Hyperbolic heat conduction in a circular plate from Green's function

被引:0
|
作者
Lopez Molina, Juan A. [1 ]
Trujillo, Macarena [1 ]
机构
[1] Univ Politecn Valencia, Dept Matemat Aplicada, ETSI Agron, Valencia 46022, Spain
关键词
Anisotropic Sobolev spaces; hyperbolic heat equation; circular plate;
D O I
10.1007/s00009-006-0062-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show the existence and uniqueness of Green's function of the Neumann problem for the axisymmetric hyperbolic heat conduction equation in a circular plate and present its explicit and rigorous computation. As an application, we use this function in order to compute the temperature profile in a circular plate irradiated by a continuous Gaussian laser source.
引用
收藏
页码:31 / 46
页数:16
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