Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell

Abstract

In my PhD thesis I show the existence of global-in-time weak solutions for a Navier-Stokes fluid interacting with a linearly elastic shell of Koiter type. This is achieved by the introduction of a new method for showing the compactness of bounded sequences of approximate weak solutions. This method might be of general interest in the study of fluid dynamical problems involving a free boundary. There is no damping term involved in the shell equations.

The thesis is written in German. An English publication in a journal will follow soon. In the first version some pages were missing, due to processing problems. Futhermore, some details were added to the metadata abstract