Coupling of an Interior Navier-Stokes Problem with an Exterior Oseen Problem

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Date
1998-02Type
- Report
ETH Bibliography
yes
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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. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004288296Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
viscous incompressible flow; Navier--Stokesequations; exterior Oseen problem; transmission conditions; coupledproblem; weak solutionOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
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ETH Bibliography
yes
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