Uniform decay rates for a suspension bridge with locally distributed nonlinear damping
Analysis of PDEs
2019-10-07 v1
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.
Keywords
Cite
@article{arxiv.1902.09963,
title = {Uniform decay rates for a suspension bridge with locally distributed nonlinear damping},
author = {Andre D. Domingos Cavalcanti and Marcelo M. Cavalcanti and Wellington J. Correa and Zayd Hajjej and Mauricio Sepulveda and Rodrigo Vejar Aseme},
journal= {arXiv preprint arXiv:1902.09963},
year = {2019}
}
Comments
62 pages, 6 figures. arXiv admin note: text overlap with arXiv:1608.07082 by other authors