Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1992-09-30
A Representation Formula for Three-Dimensional Stokes FlowsWerner Kratz and Andreas Lindae (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