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
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2006年 / 3卷 / 01期
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.
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页码：31 / 46
页数：16
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