A CORRESPONDENCE PRINCIPLE CONNECTING IBVPS OF WAVE-PROPAGATION AND HEAT-CONDUCTION

被引：0
|
作者：
GEORGIADIS, HG
机构：
[1] Mechanics Division, Box 422, School of Technology, The Aristotle University of Thessaloniki, Thessaloniki
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1992年 / 43卷 / 04期
关键词：
D O I：
10.1007/BF00946261
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A wave-heat correspondence principle is established by utilizing previous operational relations of van der Pol and Bremmer. By the suggested procedure, heat conduction problems can be solved by using an auxiliary wave-propagation problem in conjunction with the correspondence principle. A check on this procedure was provided by solving a mixed BVP of transient heat flow. The present correspondence principle is particularly useful in dealing with IBVPs involving wedge-shaped domains, and characteristic lengths.
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页码：742 / 755
页数：14
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