Global existence and uniform stabilization of a nonlinear Timoshenko beam.

Ammari, Kais

Displaying similar documents to “Global existence and uniform stabilization of a nonlinear Timoshenko beam.”

On the unique continuation property for a nonlinear dispersive system.

Kozakevicius, Alice, Vera, Octavio (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Stabilization of Berger–Timoshenko’s equation as limit of the uniform stabilization of the von Kármán system of beams and plates

G. Perla Menzala, Ademir F. Pazoto, Enrique Zuazua (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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We consider a dynamical one-dimensional nonlinear von Kármán model for beams depending on a parameter $ε > 0$ and study its asymptotic behavior for $t$ large, as $ε \to 0$ . Introducing appropriate damping mechanisms we show that the energy of solutions of the corresponding damped models decay exponentially uniformly with respect to the parameter $ε$ . In order for this to be true the damping mechanism has to have the appropriate scale with respect to $ε$ . In the limit as $ε \to 0$ we obtain damped Berger–Timoshenko...

Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain.

Límaco, J., Clark, H.R., Medeiros, L.A. (2003)

International Journal of Mathematics and Mathematical Sciences

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Energy decay estimates for the damped Euler-Bernoulli equation with an unbounded localizing coefficient.

Tcheugoué Tébou, L.R. (2004)

Portugaliae Mathematica. Nova Série

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Stability of vibrations for some Kirchhoff equation with dissipation

Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)

Applications of Mathematics

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In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval $[0, T]$ with a tolerance level $γ$ . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force $f$ . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...