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Boundary Controllability Of Thermoelastic Plates Via The Free Boundary Conditions, George Avalos, Irena Lasiecka
Boundary Controllability Of Thermoelastic Plates Via The Free Boundary Conditions, George Avalos, Irena Lasiecka
Department of Mathematics: Faculty Publications
Controllability properties of a partial differential equation (PDE) model describing a thermoelastic plate are studied. The PDE is composed of a Kirchoff plate equation coupled to a heat equation on a bounded domain, with the coupling taking place on the interior and boundary of the domain. The coupling in this PDE is parameterized by α > 0. Boundary control is exerted through the (two) free boundary conditions of the plate equation and through the Robin boundary condition of the temperature. These controls have the physical interpretation of inserted forces and moments and prescribed temperature, respectively, all of which act on the …