Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory
From MaRDI portal
Publication:6141802
DOI10.4208/jpde.v36.n4.2OpenAlexW4388535888MaRDI QIDQ6141802
Publication date: 23 January 2024
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jpde.v36.n4.2
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior of a quasilinear viscoelastic equation with past history
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- Asymptotics of viscoelastic materials with nonlinear density and memory effects
- General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
- Uniform decay of solutions for a quasilinear system of viscoelastic equations
- Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations
- Global existence and stability of a class of nonlinear evolution equations with hereditary memory and variable density
- Weighted integral inequality and applications in general energy decay estimate for a variable density wave equation with memory
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- A general stability result for a quasilinear wave equation with memory
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- Asymptotic stability in viscoelasticity
- A well posedness result for nonlinear viscoelastic equations with memory
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- General decay for quasilinear viscoelastic equations with nonlinear weak damping
- Exponential decay for a quasilinear viscoelastic equation
- General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
- General decay of energy for a viscoelastic equation with nonlinear damping
- Global existence and uniform decay for a nonlinear viscoelastic equation with damping
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
