TY  - GEN
ID  - heidok5517
KW  - fluid-structure interaction 
KW  -  Navier-Stokes equations 
KW  -  existence and regularity of solutions
AV  - public
TI  - The instationary motion of a Navier-Stokes fluid through a vessel with an elastic cover
T3  - IWR-Preprints
Y1  - 2005///
N2  - 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.
A1  - Surulescu, Christina
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/5517/
ER  -