%0 Generic
%A Surulescu, Christina
%D 2005
%F heidok:5362
%K Fluid-Struktur Wechselwirkung , Stokes Gleichungen , Existenz und Eindeutigkeit der LösungenFluid-structure interaction , Stokes equations , existence and uniqueness of solutions
%R 10.11588/heidok.00005362
%T Mathematical analysis of the time dependent motion of a fluid through a tube with flexible walls
%U https://archiv.ub.uni-heidelberg.de/volltextserver/5362/
%X 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.