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.
J. C. Murray, Curvilinear coordinate systems associated with a class of boundary-value problems, J Inst. Math. Applics. 25, 397–411 (1980)
P. M. Morse and H. Feshbach, Methods of theoretical physics, McGraw-Hill, 1953
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Article copyright:
© Copyright 1981
American Mathematical Society