关于刚性管中拉普拉斯方程的格林函数

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED Quarterly of Applied Mathematics Pub Date : 2021-11-16 DOI:10.1090/qam/1603

P. Martin

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引用次数: 1

摘要

重新讨论了势理论中的一个经典问题（长刚性管内的点源）。它有大量的文献，但它的解决方案并不简单：标准方法导致发散积分或需要丢弃无限常数。我们证明了使用经典方法可以严格地解决这个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Green’s function for Laplace’s equation in a rigid tube

A classical problem from potential theory (a point source inside a long rigid tube) is revisited. It has an extensive literature but its resolution is not straightforward: standard approaches lead to divergent integrals or require the discarding of infinite constants. We show that the problem can be solved rigorously using classical methods.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.