| Abstract: |
| We consider the dynamics of composite structure-fluid interaction (FSI) PDE system. The coupling of 3D Stokes and 3D elastic dynamics is realized via an additional 2D elastic equation on the boundary interface. We analyze the (strong) stability and the exponential instability properties of the solution by way of analyzing the spectrum of the corresponding semigroup generator. We particularly appeal to Stone`s Theorem and linear perturbation theory for the lack of exponential decay of the said coupled PDE system. This is a joint work with Robert Denk (University of Konstanz). |
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