Abstract
In this paper we present a new proof for the existence of Navier-Stokes flows with nonhomogeneous boundary conditions in domains with multiply connected boundaries. For sufficiently small fluxes, we show the existence of at least one stationary solution with an improved smallness assumption.
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Borchers, W., Pileckas, K. Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary. Acta Applicandae Mathematicae 37, 21–30 (1994). https://doi.org/10.1007/BF00995126
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DOI: https://doi.org/10.1007/BF00995126