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.
Cite this article
Werner Kratz, Andreas Lindae, A Representation Formula for Three-Dimensional Stokes Flows. Z. Anal. Anwend. 11 (1992), no. 3, pp. 371–375DOI 10.4171/ZAA/600