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 equations considered in a bounded domain with the linear 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 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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