Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms
type: Item
instance of: scholarly article
title: Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms
zbMATH Open document ID: 1403.35177
author: Wenjun Liu
author: Hefeng Zhuang
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2018-01-31T00:00:00Z
Mathematics Subject Classification ID: 35L76
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L35
zbMATH DE Number: 6832643
zbMATH Keywords: fourth order wave equation
zbMATH Keywords: nonlinear damping
zbMATH Keywords: source term
MaRDI profile type: Publication
full work available at URL: preprints201702.0057.v1
OpenAlex ID: W4249327652
cites work: Bending and stretching energies in a rectangular plate modeling suspension bridges
cites work: REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
cites work: Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory
cites work: Existence and sharp decay rate estimates for a von Karman system with long memory
cites work: Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term
cites work: A partially hinged rectangular plate as a model for suspension bridges
cites work: Global existence and internal nonlinear damping for a Petrovsky system
cites work: Energy decay for a damped nonlinear coupled system
cites work: Nonlinearity in oscillating bridges
cites work: Existence of a solution of the wave equation with nonlinear damping and source terms
cites work: Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities
cites work: Decay estimates for some semilinear damped hyperbolic problems
cites work: Some remarks on the wave equations with nonlinear damping and source terms
cites work: Global attractor for suspension bridge equations with memory
cites work: Q4852293
cites work: Q3488490
cites work: Nonlinear Structural Mechanics
cites work: Existence and exponential decay of solutions to a quasilinear thermoelastic plate system
cites work: Large scale oscillatory behaviour in loaded asymmetric systems
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Global bifurcation and a theorem of Tarantello
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
cites work: On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms
cites work: Nonlinear oscillations in a suspension bridge
cites work: Travelling Waves in a Suspension Bridge
cites work: Blow up in a nonlinearly damped wave equation
cites work: Global existence and nonexistence in a system of Petrovsky
cites work: The global attractor for a suspension bridge with memory and partially hinged boundary conditions
cites work: Q3466995
cites work: A Suspension Bridge Problem: Existence and Stability
cites work: Finite dimensional global attractor for a suspension bridge problem with delay
cites work: A difference inequality and its application to nonlinear evolution equations
cites work: On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
cites work: A note on a semilinear elliptic problem
cites work: Finite time blow-up and global solutions for fourth order damped wave equations
cites work: On global solutions and blow-up of solutions for a nonlinearly damped Petrovsky system
cites work: Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity.
cites work: Lower bounds for blow-up time of a nonlinear viscoelastic wave equation
cites work: Existence of solutions for some fourth-order nonlinear elliptic problems
cites work: Global existence and blow-up of solutions for higher-order viscoelastic wave equation with a nonlinear source term
cites work: Energy decay and exact controllability for the Petrovsky equation in a bounded domain
cites work: Lower bounds for blow-up time of two nonlinear wave equations
DOI: 10.1007/S00030-017-0491-5
DOI: 10.20944/PREPRINTS201702.0057.V1
description: scientific article; zbMATH DE number 6832643