Volume 27, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Number of page(s)||51|
|Published online||01 March 2021|
Observability and unique continuation of the adjoint of a linearized simplified compressible fluid-structure model in a 2d channel
Institute of Mathematics, University of Würzburg,
* Corresponding author: firstname.lastname@example.org
Accepted: 2 October 2020
We consider a compressible fluid structure interaction model in a 2D channel with a simplified expression of the net force acting on the structure appearing at the fluid boundary. Concerning the structure we will consider a damped Euler-Bernoulli beam located on a portion of the boundary. In the present article we establish an observability inequality for the adjoint of the linearized fluid structure interaction problem under consideration which in principle is equivalent with the null controllability of the linearized system. As a corollary of the derived observability inequality we also obtain a unique continuation property for the adjoint problem.
Mathematics Subject Classification: 76N25 / 76N10 / 93B05 / 93B07 / 93B18
Key words: Observability / unique continuation / adjoint / compressible Navier-Stokes / damped beam / fluid-structure / Carleman estimate
© EDP Sciences, SMAI 2021
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