Blow-up of solutions to a viscoelastic wave equation with nonlocal damping
type: Item
instance of: scholarly article
title: Blow-up of solutions to a viscoelastic wave equation with nonlocal damping
zbMATH Open document ID: 1500.35062
author: Donghao Li
author: Hongwei Zhang
author: Shuo Liu
author: Qingying Hu
published in: Evolution Equations and Control Theory
publication date: 2022-10-18T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 7603694
zbMATH Keywords: viscoelastic wave equation
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: nonlocal damping
MaRDI profile type: Publication
full work available at URL: eect.2022009
OpenAlex ID: W4214822353
cites work: Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface
cites work: Blow-up in Nonlinear Sobolev Type Equations
cites work: Blow up at infinity of solutions of polyharmonic Kirchhoff systems
cites work: Global nonexistence for nonlinear Kirchhoff systems
cites work: On nonlinear wave equations with degenerate damping and source terms
cites work: Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms
cites work: Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type
cites work: Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
cites work: Exponential stability for the wave model with localized memory in a past history framework
cites work: Exponential stability for the wave equation with degenerate nonlocal weak damping
cites work: Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
cites work: Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping
cites work: Global existence and blow‐up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source
cites work: Q5445562
cites work: Long-time behavior for a plate equation with nonlocal weak damping.
cites work: Attractors and their properties for a class of nonlocal extensible beams
cites work: On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy
cites work: Rates of decay of a nonlocal beam equation
cites work: Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
cites work: Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping
cites work: Regular solutions and strong attractors for the Kirchhoff wave model with structural nonlinear damping
cites work: Global nonexistence for abstract evolution equations with dissipation
cites work: Blow up at infinity of solutions for integro-differential equation
cites work: Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
cites work: On a Kirchhoff wave model with nonlocal nonlinear damping
cites work: Attractors for a plate equation with nonlocal nonlinearities
cites work: Global existence and non-existence theorems for nonlinear wave equations
cites work: Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
cites work: Critically and degenerately damped systems of nonlinear wave equations with source terms
cites work: Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
cites work: Global existence and nonexistence for nonlinear wave equations with damping and source terms
cites work: Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations
cites work: Global nonexistence theorems for a class of evolution equations with dissipation
cites work: Global nonexistence for an integro-differential equation
cites work: Global attractor for the Kirchhoff type equations with strong nonlinear damping and supercritical nonlinearity
cites work: Exponential attractor for the Kirchhoff equations with strong nonlinear damping and supercritical nonlinearity
DOI: 10.3934/EECT.2022009
description: scientific article; zbMATH DE number 7603694