Blow-up of solutions to a viscoelastic Euler-Bernoulli equation with nonlocal dissipation

Donghao Li, Hongwei Zhang, Qingying Hu

Publication date: 3 July 2024

Published in: Dynamics of Continuous, Discrete \& Impulsive Systems. Series A. Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

blow-up initial boundary value problem viscoelastic Euler-Bernoulli equation nonlocal weak damping modified concavity method

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

Unnamed Item
Global nonexistence for abstract evolution equations with dissipation
Attractors and their properties for a class of nonlocal extensible beams
Exponential attractor for the Kirchhoff equations with strong nonlinear damping and supercritical nonlinearity
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
On a Kirchhoff wave model with nonlocal nonlinear damping
Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
Global nonexistence for nonlinear Kirchhoff systems
Blow up at infinity of solutions for integro-differential equation
On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy
Global nonexistence theorems for a class of evolution equations with dissipation
Rates of decay of a nonlocal beam equation
Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping
Long-time behavior for a plate equation with nonlocal weak damping.
Global attractor for the Kirchhoff type equations with strong nonlinear damping and supercritical nonlinearity
Exponential stability for the wave equation with degenerate nonlocal weak damping
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping
Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
Blow-up in Nonlinear Sobolev Type Equations
Global nonexistence for an integro-differential equation
Blow up at infinity of solutions of polyharmonic Kirchhoff systems
Global existence and blow‐up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source
Critically and degenerately damped systems of nonlinear wave equations with source terms
Global existence and non-existence theorems for nonlinear wave equations
Global existence and nonexistence for nonlinear wave equations with damping and source terms
On nonlinear wave equations with degenerate damping and source terms
Attractors for a plate equation with nonlocal nonlinearities
Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms

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