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Zeitschrift für Analysis und ihre Anwendungen

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Volume 11, Issue 3, 1992, pp. 371–375
DOI: 10.4171/ZAA/600

Published online: 1992-09-30

A Representation Formula for Three-Dimensional Stokes Flows

Werner Kratz[1] and Andreas Lindae[2]

(1) Universität Ulm, Germany
(2) Universität Ulm, Germany

In this note there is derived a representation formula for the velocity field and the pressure of three-dimensional Stokes flows via three (scalar and unique) harmonic functions. This formula yields the complete system of interior solutions of the Stokes equations by R. N. Kaufmann when expanding the harmonic functions in terms of spherical harmonics.

Keywords: Stokes equations, representation of Stokes flows, spherical harmonics

Kratz Werner, Lindae Andreas: A Representation Formula for Three-Dimensional Stokes Flows. Z. Anal. Anwend. 11 (1992), 371-375. doi: 10.4171/ZAA/600