Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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: 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.

References [Enhancements On Off] (What's this?)

  • [1] J. C. Murray, Curvilinear coordinate systems associated with a class of boundary-value problems, J Inst. Math. Applics. 25, 397-411 (1980) MR 578086
  • [2] P. M. Morse and H. Feshbach, Methods of theoretical physics, McGraw-Hill, 1953 MR 0059774

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DOI: https://doi.org/10.1090/qam/636239
Article copyright: © Copyright 1981 American Mathematical Society

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