Wendland, Wolfgang L.2024-07-312024-07-3120241099-14760170-42141897640234http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-147527http://elib.uni-stuttgart.de/handle/11682/14752http://dx.doi.org/10.18419/opus-14733Based on existence results for the Stokes operator and its solution properties in manifolds with cylindrical ends by Große et al. and Kohr et al., the Stokes flow in a three-dimensional compact domain Ω+ with circular openings Σ𝑗 ( 𝑗 = 1, 2) through which the fluid enters and leaves Ω+ through unbounded cylindrical pipes the Stokes flow is modeled as a mixed boundary value problemΩ+ whereas in the cylindrical ends, the velocities and pressures are constant on every straight line in the cylindrical directions with initial values from the openings Σ𝑗 of Ω+. These values equal the velocities and pressures which are obtained from the mixed boundary values' solution in Ω+ at the openings Σ𝑗.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/3.0/620article2024-07-09