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

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

2012-04-05

arxiv.org/abs/1204.1304v2

Mathematics

Analysis of PDEs

The thesis is written in German. An English publication in a journal will follow soon. In the first version some pages were mi

Scientific paper

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.

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