Browsing by Author "Lasiecka, Irena"
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Item Boundary controllability of thermoelastic plates with free boundary conditions(1998-06) Avalos, George; Lasiecka, IrenaItem A differential Riccati equation for the active control of a problem in structural acoustics(1995-08) Avalos, George; Lasiecka, IrenaItem Exact controllability of structural acoustic interactions(2001-06) Avalos, George; Lasiecka, IrenaIn this paper, we work to discern exact controllability properties of two coupled wave equations, one of which holds on the interior of a bounded open domain , and the other on a segment 0 of the boundary \partial . Moreover, the coupling is accomplished through terms on the boundary. Because of the particular physical application involved-the attenuation of acoustic waves within a chamber by means of active controllers on the chamber walls--control is to be implemented on the boundary only. We give here concise results of exact controllability for this system of interactions, with the control functions being applied through \partial . In particular, it is seen that for special geometries, control may be exerted on the boundary segment 0 only. We make use here of microlocal estimates derived for the Neumann-control of wave equations, as well as a special vector field which is now known to exist under certain geometrical situations.Item Global existence, uniqueness and regularity of solutions to a Von Kármán system with nonlinear boundary dissipation(1993-09) Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena; Tataru, DanielItem Uniform decay rates of solutions to a structural acoustics model with nonlinear dissipation(1997-02) Avalos, George; Lasiecka, IrenaItem Well-posedness and uniform decay rates for weak solutions to a von Kármán system with nonlinear dissipative boundary conditions(1993-11) Horn, Mary Ann; Lasiecka, Irena; Tataru, Daniel