Displaying similar documents to “Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates”

Mathematical analysis of the stabilization of lamellar phases by a shear stress

V. Torri (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a 2D mathematical model describing the motion of a solution of surfactants submitted to a high shear stress in a Couette-Taylor system. We are interested in a stabilization process obtained thanks to the shear. We prove that, if the shear stress is large enough, there exists global in time solution for small initial data and that the solution of the linearized system (controlled by a nonconstant parameter) tends to 0 as goes to infinity. This explains rigorously some experiments. ...

A new method to obtain decay rate estimates for dissipative systems

Patrick Martinez (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the wave equation damped with a boundary nonlinear velocity feedback . Under some geometrical conditions, we prove that the energy of the system decays to zero with an explicit decay rate estimate even if the function has not a polynomial behavior in zero. This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the...