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 slowly varying circular section


Author: J. C. Murray
Journal: Quart. Appl. Math. 42 (1984), 257-265
MSC: Primary 35C10; Secondary 31B20
DOI: https://doi.org/10.1090/qam/757163
MathSciNet review: 757163
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Abstract: A non-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 slowly varying circular section. A solution scheme is presented for two cases of a tube of finite length.


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

  • [1] J. C. Murray, On the boundary-value problem associated with a general twisted tube with a uniform non-rotating section, Quart. Appl. Math. 39, 341-349 (1981) MR 636239
  • [2] J. C. Murray, Curvilinear coordinate systems associated with a class of boundary-value problems, J. Inst. Math. Applics. 25, 397-411 (1980) MR 578086

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DOI: https://doi.org/10.1090/qam/757163
Article copyright: © Copyright 1984 American Mathematical Society

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