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

## TL;DR

This paper establishes the asymptotic stability of a suspension bridge model with minimal nonlinear damping, demonstrating that effective stabilization can be achieved with less material cost, supported by numerical validation.

## Contribution

It proves the asymptotic stability of a nonlocal bridge deformation model using minimal nonlinear damping, a novel approach compared to prior studies.

## Key findings

- Asymptotic stability achieved with minimal damping
- Numerical validation supports theoretical results
- Cost-effective stabilization method for suspension bridges

## 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.