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

Daniel Lengeler

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arXiv · 1204.1304

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

Daniel Lengeler

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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.

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Daniel Lengeler. 2012-04-05. Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell. https://arxiv.org/abs/1204.1304

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