Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions
type: Item
instance of: scholarly article
title: Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions
zbMATH Open document ID: 1382.35227
author: Mi Jin Lee
author: Jong Yeoul Park
published in: Boundary Value Problems
publication date: 2018-01-17T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6826962
zbMATH Keywords: general decay rate
zbMATH Keywords: viscoelastic wave equation
zbMATH Keywords: time-varying delay
zbMATH Keywords: acoustic boundary conditions
zbMATH Keywords: dynamic boundary
MaRDI profile type: Publication
full work available at URL: s13661-017-0918-2
OpenAlex ID: W2781782514
cites work: Q4530284
cites work: Q4816727
cites work: Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
cites work: Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
cites work: On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
cites work: Q5741097
cites work: Q3466995
cites work: On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions
cites work: Q4893662
cites work: Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
cites work: Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term
cites work: Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
cites work: General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term
cites work: Acoustic boundary conditions
cites work: General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
cites work: Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions
cites work: Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions
cites work: General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions
cites work: Asymptotic behavior of second sound thermoelasticity with internal time-varying delay
cites work: Asymptotic stability of a problem with Balakrishnan-Taylor damping and a time delay
cites work: Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
cites work: Q2995048
cites work: Oscillation criteria for third order nonlinear delay differential equations with damping
cites work: The fixed sign property of solutions and stability of linear differential equations with varying distributed delay
cites work: Uniform decay of solutions for a nonlinear viscoelastic wave equation with boundary dissipation
cites work: Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
cites work: General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term
cites work: Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback
cites work: Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
cites work: Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
cites work: Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation
cites work: Q4692311
cites work: Energy decay for a von Karman equation with time-varying delay
DOI: 10.1186/S13661-017-0918-2
description: scientific article; zbMATH DE number 6826962