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Online ISSN 1552-4485; Print ISSN 0033-569X
On the boundary value problem associated with a general twisted tube with a uniform nonrotating section
Author:
J. C. Murray
Journal:
Quart. Appl. Math. 39 (1981), 341-349
MSC:
Primary 31B20; Secondary 73C50
DOI:
https://doi.org/10.1090/qam/636239
MathSciNet review:
636239
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Abstract | References | Similar Articles | Additional Information
Abstract: An orthogonal curvilinear coordinate system is used to formulate the Dirichlet problem of potential theory associated with the interior of a general twisted tube with a uniform non-rotating section. Two solution schemes are presented for a class of finite and infinite tube geometries. The boundary-value problems associated with a tube of uniform circular section are discussed as an example.
- J. C. Murray, Curvilinear coordinate systems associated with a class of boundary value problems, J. Inst. Math. Appl. 25 (1980), no. 4, 397–411. MR 578086
- Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774
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Article copyright:
© Copyright 1981
American Mathematical Society