Browsing by Author "Avalos, George"
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Item Asymptotic stability of a fluid-structure semigroup(2005-11) Avalos, GeorgeItem Boundary and local null controllability of structurally damped elastic systems(2006-05) Avalos, George; Cokeley, PaulItem Boundary controllability of thermoelastic plates with free boundary conditions(1998-06) Avalos, George; Lasiecka, IrenaItem Concerning the well-posedness of a nonlinearly coupled semilinear wave and beam-like equation(1996-05) Avalos, GeorgeItem A differential Riccati equation for the active control of a problem in structural acoustics(1995-08) Avalos, George; Lasiecka, IrenaItem Exact controllability of a thermoelastic system with control in the thermal component only(1998-02) Avalos, GeorgeItem 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 Exact reachability of finite energy states for an acoustic wave/plate interaction under the influence of boundary and localized controls(2005-01) Avalos, George; Lasiecka, IrenaItem Exact-approximate boundary reachability of thermoelastic plates under variable thermal coupling(1999-12) Avalos, George; Lasiecka, IrenaItem The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics(1995-08) Avalos, GeorgeItem Exponential stability of a thermoelastic system without mechanical dissipation(1995-08) Avalos, George; Lasiecka, IrenaItem Exponential stability of a thermoelastic system without mechanical dissipation II: The case of simply supported boundary conditions(1996-03) Avalos, George; Lasiecka, IrenaItem Optimal blowup rates for the minimal energy null control for the structurally damped abstract wave equation(2002-07) Avalos, George; Lasiecka, IrenaItem The strong stability of a semigroup arising from a coupled hyperbolic/parabolic system(1995-08) Avalos, George; Lasiecka, IrenaItem Strong stability of PDE semigroups via a resolvent criterion of Y. Tomilov(2005-05) Avalos, GeorgeItem Uniform decay rates of solutions to a structural acoustics model with nonlinear dissipation(1997-02) Avalos, George; Lasiecka, IrenaItem Well-posedness for a coupled hyperbolic/parabolic system seen in structural acoustics(1995-08) Avalos, GeorgeItem Well-posedness of a structural acoustics control model with point observation of the pressure(1999-06) Avalos, George; Lasiecka, Irena; Rebarber, Richard