Coupling of an Interior Navier-Stokes Problem with an Exterior Oseen Problem
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Date
1998-02
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Report
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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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published
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1998-01
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Seminar for Applied Mathematics, ETH Zurich
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Subject
viscous incompressible flow; Navier--Stokesequations; exterior Oseen problem; transmission conditions; coupledproblem; weak solution
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
03435 - Schwab, Christoph / Schwab, Christoph