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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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

Author: P. A. Martin
Journal: Quart. Appl. Math. 80 (2022), 87-98
MSC (2020): Primary 31B20
Published electronically: November 16, 2021
MathSciNet review: 4360551
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Abstract | References | Similar Articles | Additional Information

Abstract: 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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Additional Information

P. A. Martin
Affiliation: Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado 80401

Received by editor(s): September 13, 2021
Received by editor(s) in revised form: October 5, 2021
Published electronically: November 16, 2021
Article copyright: © Copyright 2021 Brown University