On the internal and boundary stabilization of a nonlinear suspension bridge system: exponential and polynomial decay rates
type: Item
instance of: scholarly article
title: On the internal and boundary stabilization of a nonlinear suspension bridge system: exponential and polynomial decay rates
zbMATH Open document ID: 1547.35098
author: Ahmad Mugbil
author: Mohammad M. Al-Gharabli
author: Adel Al-Mahdi
author: Abdelaziz Soufyane
published in: Evolution Equations and Control Theory
publication date: 2024-08-30T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L57
Mathematics Subject Classification ID: 35L76
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 7903734
zbMATH Keywords: suspension bridge system
zbMATH Keywords: energy decay
zbMATH Keywords: variable exponents
zbMATH Keywords: boundary dampings
MaRDI profile type: Publication
cites work: Uniform decay rates of a coupled suspension bridges with temperature
cites work: Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings
cites work: Optimal decay rates of a nonlinear suspension bridge with memories
cites work: Mathematical Analysis of Dynamic Models of Suspension Bridges
cites work: A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge
cites work: Torsional instability in suspension bridges: the Tacoma Narrows Bridge case
cites work: A qualitative explanation of the origin of torsional instability in suspension bridges
cites work: Long-term damped dynamics of the extensible suspension bridge
cites work: On the viscoelastic coupled suspension bridge
cites work: Long-time dynamics of a hinged-free plate driven by a nonconservative force
cites work: A dynamic problem involving a coupled suspension bridge system: numerical analysis and computational experiments
cites work: Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
cites work: Asymptotic behavior of coupled linear systems modeling suspension bridges
cites work: Nonlinear Equations for Beams and Degenerate Plates with Piers
cites work: Mathematical models for suspension bridges. Nonlinear structural instability
cites work: Long-time behavior of partially damped systems modeling degenerate plates with piers
cites work: Steady-state solutions for a suspension bridge with intermediate supports
cites work: The failure of the Tacoma Bridge: A physical model
cites work: One-dimensional model of a suspension bridge: revision of uniqueness results
cites work: Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory
cites work: Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Longtime dynamics for a type of suspension bridge equation with past history and time delay
cites work: Oscillations in suspension bridges, vertical and torsional
cites work: Large Torsional Oscillations in Suspension Bridges Revisited: Fixing an Old Approximation
cites work: Asymptotic behaviour of a suspension bridge problem
DOI: 10.3934/EECT.2024022
description: scientific article; zbMATH DE number 7903734