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On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II

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Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain new integral representations for an axisymmetric potential and the Stokes flow function in an arbitrary simply-connected domain of the meridian plane. The boundary properties of these integral representations are studied for domains with closed rectifiable Jordan boundary.

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REFERENCES

  1. S. A. Plaksa, “On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane. I,” Ukr. Mat. Zh. 53, No. 5, 631–646 (2001).

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  2. S. A. Plaksa, “Dirichlet problems for axisymmetric potential fields in a disk of the meridian plane. I,” Ukr. Mat. Zh. 52, No. 4, 492–511 (2000).

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  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. A. Plaksa

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  1. S. A. Plaksa
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Plaksa, S.A. On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II. Ukrainian Mathematical Journal 53, 938–950 (2001). https://doi.org/10.1023/A:1013351918523

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  • DOI: https://doi.org/10.1023/A:1013351918523

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