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Modeling of Steady Flows in a Channel by Navier–Stokes Variational Inequalities

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A mathematical model of a steady viscous incompressible fluid flow in a channel with exit conditions different from the Dirichlet conditions is considered. A variational inequality is derived for the formulated subdifferential boundary-value problem, and the structure of the set of its solutions is studied. For two-ption on the low Reynolds number is proved. In the three-dimensional case, a class of constraints on the tangential component of velocity at the exit, which guarantees solvability of the variational inequality, is found.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, Vladivostok, 690041

    A. Yu. Chebotarev

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  1. A. Yu. Chebotarev
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Chebotarev, A.Y. Modeling of Steady Flows in a Channel by Navier–Stokes Variational Inequalities. Journal of Applied Mechanics and Technical Physics 44, 852–857 (2003). https://doi.org/10.1023/A:1026244022762

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  • DOI: https://doi.org/10.1023/A:1026244022762

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