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- W3183787849 abstract "We consider a structural-acoustic wall problem in dimension 3, in which the structural wall is modeled by a 2D Kirchhoff-Boussinesq plate and acoustic medium subject to a boundary damping. The structure subjected to: a nonlinear external forces [Boussinesq] which may lead to blow up of solutions, and the restoring internal forces mitigating the blow up. It will be shown that a suitable calibration between the forces and boundary damping, subject to certain geometric configurations, leads to a wellposed nonlinear control system. For such system, feedback stabilization of solutions [both strong and uniform] is established. The main difficulties and novelty encountered in the problem are the following: (i) the nonlinear effects are not locally Lipschitz, (ii) the system is not dissipative and (iii) the presence of un-observed Neumann data on the interface. To handle these difficulties new methods in dynamical systems and geometric analysis are developed and applied." @default.
- W3183787849 created "2021-08-02" @default.
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- W3183787849 date "2021-05-25" @default.
- W3183787849 modified "2023-09-27" @default.
- W3183787849 title "Stabilization of a nonlinear structural acoustic interaction" @default.
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- W3183787849 doi "https://doi.org/10.23919/acc50511.2021.9482916" @default.
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