eprintid: 5517
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/55/17
datestamp: 2005-05-17 13:55:04
lastmod: 2015-04-30 15:29:06
status_changed: 2012-08-14 15:15:00
type: preprint
metadata_visibility: show
creators_name: Surulescu, Christina
title: The instationary motion of a Navier-Stokes fluid through a vessel with an elastic cover
ispublished: pub
subjects: ddc-510
divisions: i-708000
keywords: fluid-structure interaction , Navier-Stokes equations , existence and regularity of solutions
cterms_swd: Fluid-Struktur Wechselwirkung
cterms_swd: Navier-Stokes Gleichungen
cterms_swd: Existenz und Regularitaet von Loesungen
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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 74F10, 35Q30, 76D03
date: 2005
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00005517
portal_cluster_id: p-iwrpp
portal_order: 05517
ppn_swb: 1646174771
own_urn: urn:nbn:de:bsz:16-heidok-55171
language: eng
bibsort: SURULESCUCTHEINSTATI2005
full_text_status: public
series: IWR-Preprints
citation:   Surulescu, Christina  (2005) The instationary motion of a Navier-Stokes fluid through a vessel with an elastic cover.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/5517/1/box_pres_main.pdf