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

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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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  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. I. Ukrainian Mathematical Journal 53, 726–743 (2001). https://doi.org/10.1023/A:1012578200291

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