Well Posedness and Asymptotic Expansion of Solution of Stokes Equation Set in a Thin Cylindrical Elastic Tube
Identifieur interne : 000079 ( Main/Exploration ); précédent : 000078; suivant : 000080Well Posedness and Asymptotic Expansion of Solution of Stokes Equation Set in a Thin Cylindrical Elastic Tube
Auteurs : Grigory P. Panasenko [France] ; Ruxandra Stavre [Roumanie]Source :
- International Mathematical Series [ 1571-5485 ] ; 2010.
Abstract
Abstract: We extend the previous results for an interaction problem betweena viscous fluid and an elastic structure to a three-dimensional case. We consider anonstationary, axisymmetric, creeping flow of a viscous incompressible fluid through a long and narrow cylindrical elastic tube. The creeping flow is describedby the Stokes equations, and for the wall displacement we consider the Koiter equation. The well posedness of the problem is proved bymeans of its variational formulation. We perform an asymptotic analysis ofthe problem with respect to two small parameters, for the periodic case. Thesmall error between theexact solution and the asymptotic one justifies our asymptotic expansions.
Url:
DOI: 10.1007/978-1-4419-1343-2_13
Affiliations:
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Panasenko</name></region><name sortKey="Panasenko, Grigory P" sort="Panasenko, Grigory P" uniqKey="Panasenko G" first="Grigory P." last="Panasenko">Grigory P. Panasenko</name></country><country name="Roumanie"><noRegion><name sortKey="Stavre, Ruxandra" sort="Stavre, Ruxandra" uniqKey="Stavre R" first="Ruxandra" last="Stavre">Ruxandra Stavre</name></noRegion><name sortKey="Stavre, Ruxandra" sort="Stavre, Ruxandra" uniqKey="Stavre R" first="Ruxandra" last="Stavre">Ruxandra Stavre</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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