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Mathematical analysis of the time dependent motion of a fluid through a tube with flexible walls

Surulescu, Christina

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Abstract

We study the motion of a Stokes fluid through an elastic cylinder. The fluid is driven by a small time-dependent pressure drop between the outflow and the inflow ends of the tube. We consider small displacements of the elastic structure, thus the domains involved are not moving in time. We prove existence and uniqueness of a weak solution for this three dimensional fluid-elastic structure interaction problem.

Item Type: Preprint
Series Name: IWR-Preprints
Date Deposited: 04 Mar 2005 13:55
Date: 2005
Faculties / Institutes: Service facilities > Interdisciplinary Center for Scientific Computing
Subjects: 510 Mathematics
Controlled Keywords: Fluid-Struktur Wechselwirkung, Stokes Gleichungen, Existenz und Eindeutigkeit der Lösungen
Uncontrolled Keywords: Fluid-Struktur Wechselwirkung , Stokes Gleichungen , Existenz und Eindeutigkeit der LösungenFluid-structure interaction , Stokes equations , existence and uniqueness of solutions
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