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The instationary motion of a Navier-Stokes fluid through a vessel with an elastic cover

Surulescu, Christina

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Abstract

We study here the time-dependent movement of a fluid through a vessel having an elastic cover and inflow and outflow sections, the rest of the boundary being rigid and fixed. The two media interact with each other. The fluid domain is moving in time. For the elastic structure we use plate equations and in order to describe the behavior of the fluid we consider Navier-Stokes equations with prescribed pressures at the inflow and at the outflow sides of the vessel. These are nonstandard boundary conditions. We prove the existence of a solution for the coupled problem.

Item Type: Preprint
Series Name: IWR-Preprints
Date Deposited: 17 May 2005 13:55
Date: 2005
Faculties / Institutes: Service facilities > Interdisciplinary Center for Scientific Computing
Subjects: 510 Mathematics
Controlled Keywords: Fluid-Struktur Wechselwirkung, Navier-Stokes Gleichungen, Existenz und Regularitaet von Loesungen
Uncontrolled Keywords: fluid-structure interaction , Navier-Stokes equations , existence and regularity of solutions
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