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Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II

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Abstract

We develop new methods for the solution of boundary-value problems in the meridian plane of an axisymmetric potential solenoidal field with regard for the nature and specific features of axisymmetric problems. We determine the solutions of the Dirichlet problems for an axisymmetric potential and the Stokes flow function in a disk in an explicit form.

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References

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Authors
  1. S. A. Plaksa
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 748–757, June, 2000.

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Plaksa, S.A. Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II. Ukr Math J 52, 856–867 (2000). https://doi.org/10.1007/BF02591780

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  • DOI: https://doi.org/10.1007/BF02591780

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