Abstract
We prove the existence of a weak solution to the steady Navier–Stokes problem in a 2D domain Ω, whose boundary ∂Ω consists of two unbounded components Γ − and Γ +. We impose an inhomogeneous Dirichlet—type boundary condition on ∂Ω. The condition implies no restriction on fluxes of the solution through the components Γ − and Γ +.
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The research was supported by the Grant Agency of the Czech Academy of Sciences (grant No. IAA100190905) and by the Academy of Sciences of the Czech Republic (Institutional Research Plan No. AV0Z10190503).
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Neustupa, J. On the steady Navier–Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary. Ann. Univ. Ferrara 55, 353–365 (2009). https://doi.org/10.1007/s11565-009-0083-3
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DOI: https://doi.org/10.1007/s11565-009-0083-3