Displaying similar documents to “Correction to 'Partial Exact Controllability and Exponential Stability in Higher-Dimensional Linear Thermoeleasticity' ”

Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity

Weijiu Liu (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau...

On the controllability and stabilization of the linearized Benjamin-Ono equation

Felipe Linares, Jaime H. Ortega (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this work we are interested in the study of controllability and stabilization of the linearized Benjamin-Ono equation with periodic boundary conditions, which is a generic model for the study of weakly nonlinear waves with nonlocal dispersion. It is well known that the Benjamin-Ono equation has infinite number of conserved quantities, thus we consider only controls acting in the equation such that the volume of the solution is conserved. We study also the stabilization with a feedback...