Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions
DOI10.1186/s13661-017-0918-2zbMath1382.35227OpenAlexW2781782514MaRDI QIDQ1689781
Publication date: 17 January 2018
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0918-2
acoustic boundary conditionsviscoelastic wave equationtime-varying delaygeneral decay ratedynamic boundary
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Second-order nonlinear hyperbolic equations (35L70) Integro-partial differential equations (35R09)
Related Items (16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions
- General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions
- General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term
- Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback
- Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term
- General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term
- Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation
- Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
- The fixed sign property of solutions and stability of linear differential equations with varying distributed delay
- Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Uniform decay of solutions for a nonlinear viscoelastic wave equation with boundary dissipation
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Asymptotic stability of a problem with Balakrishnan-Taylor damping and a time delay
- Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions
- Asymptotic behavior of second sound thermoelasticity with internal time-varying delay
- On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
- Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
- General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
- Energy decay for a von Karman equation with time-varying delay
- Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
- Oscillation criteria for third order nonlinear delay differential equations with damping
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Acoustic boundary conditions
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions
This page was built for publication: Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions