Uniform decay rates for a suspension bridge with locally distributed nonlinear damping

Andre D. Domingos Cavalcanti; Marcelo M. Cavalcanti; Wellington J. Correa; Zayd Hajjej; Mauricio Sepulveda; Rodrigo Vejar Aseme

arXiv · 1902.09963

Uniform decay rates for a suspension bridge with locally distributed nonlinear damping

Andre D. Domingos Cavalcanti·Marcelo M. Cavalcanti·Wellington J. Correa·Zayd Hajjej·Mauricio Sepulveda·Rodrigo Vejar Aseme

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Abstract

We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature we prove the asymptotic stability of the considered model with a minimum amount of damping which represents less cost of material. The result is also numerically proved.

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Andre D. Domingos Cavalcanti, Marcelo M. Cavalcanti, Wellington J. Correa, Zayd Hajjej, Mauricio Sepulveda, Rodrigo Vejar Aseme. 2019-02-23. Uniform decay rates for a suspension bridge with locally distributed nonlinear damping. https://arxiv.org/abs/1902.09963

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