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A model representing the vibrations of a fluid-solid coupled structure is
considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we
establish exact controllability results for this model with an internal control
in the fluid part and there is no control in the solid part. Novel features
which arise because of the coupling are pointed out. It is a source of
difficulty in the proof of observability inequalities, definition of weak
solutions and the proof of controllability...
A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability results....
We prove an exact controllability result for thin cups using the Fourier method and recent improvements of Ingham type theorems, given in a previous paper [2].
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