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Neumann problem for an annular disk. (English) Zbl 0752.31001

Summary: A general formulation is given for the first time to the title problem. The method is based on the results in potential theory obtained by the author earlier. The problem is reduced to a two-dimensional integral equation with an elementary non-singular kernel. Several specific examples are considered. The exact solution is obtained in terms of the iterated kernel.

MSC:

31A10 Integral representations, integral operators, integral equations methods in two dimensions
45B05 Fredholm integral equations
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References:

[1] Collins, W. D., (Proc. Edinburgh Math. Soc., 13 (1963)), 235-246
[2] Clements, D. L.; Love, E. R., (Proc. Cambridge Phil. Soc., 76 (1974)), 313-325
[3] Clements, D. L.; Ang, W. T., Int. J. Engng Sci., 26, 325-329 (1988)
[4] Fabrikant, V. I., Applications of Potential Theory in Mechanics. Selection of New Results (1989), Kluwer Academic · Zbl 0744.73016
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