Differential and Integral Equations

Decay rates for Timoshenko system with nonlinear arbitrary localized damping

D.S. Almeida Júnior, Flávio A. Falcão Nascimento, J.H. Rodrigues, and M.L. Santos

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Abstract

We consider the Timoshenko model for vibrating beams under the localized effect of both nonlinear frictional damping acting on the transverse displacement equation and on the rotation angle equation. We have obtained the exponential stability behavior for solutions, using an observability result, which allows us to consider different speeds of propagation for the waves.

Article information

Source
Differential Integral Equations, Volume 27, Number 1/2 (2014), 1-26.

Dates
First available in Project Euclid: 12 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1384282850

Mathematical Reviews number (MathSciNet)
MR3161592

Zentralblatt MATH identifier
1313.35025

Subjects
Primary: 35B35: Stability 35B40: Asymptotic behavior of solutions

Citation

Santos, M.L.; Almeida Júnior, D.S.; Falcão Nascimento, Flávio A.; Rodrigues, J.H. Decay rates for Timoshenko system with nonlinear arbitrary localized damping. Differential Integral Equations 27 (2014), no. 1/2, 1--26. https://projecteuclid.org/euclid.die/1384282850


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