Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system.

Araruna, F.D.; Borges, J.E.S.

Displaying similar documents to “Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system.”

Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions.

Santos, M.L., Rocha, M.P.C., Pereira, D.C., Ferreira, J. (2005)

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

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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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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...