Abstract.
The paper is concerned with the modelling of viscous incompressible flow in an unbounded exterior domain with the aid of the coupling of the nonlinear Navier—Stokes equations considered in a bounded domain with the linear Oseen system in an exterior domain. These systems are coupled on an artificial interface via suitable transmission conditions. The present paper is a continuation of the work [8], where the coupling of the Navier—Stokes problem with the Stokes problem is treated. However, the coupling "Navier—Stokes — Oseen" is physically more relevant. We give the formulation of this coupled problem and prove the existence of its weak solution for large data.
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Accepted: September 29, 1999
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Feistauer, M., Schwab, C. Coupling of an Interior Navier—Stokes Problem with an Exterior Oseen Problem. J. math. fluid mech. 3, 1–17 (2001). https://doi.org/10.1007/PL00000961
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DOI: https://doi.org/10.1007/PL00000961