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

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.

preprint2012arXivOpen access
Daniel Lengeler
math.AP
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Daniel Lengeler

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