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.
|Faculties / Institutes:||Service facilities > Interdisciplinary Center for Scientific Computing|
|Controlled Keywords:||Fluid-Struktur Wechselwirkung, Navier-Stokes Gleichungen, Existenz und Regularitaet von Loesungen|
|Uncontrolled Keywords:||fluid-structure interaction , Navier-Stokes equations , existence and regularity of solutions|