On the boundary-value problem associated with a general twisted tube with a slowly varying circular section

Murray, J. C.

doi:10.1090/qam/757163

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.

J. C. Murray, On the boundary value problem associated with a general twisted tube with a uniform nonrotating section, Quart. Appl. Math. 39 (1981/82), no. 3, 341–349. MR 636239, DOI https://doi.org/10.1090/S0033-569X-1981-0636239-0
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