Growth of solutions with \(L^{2(p+2)} \)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms
DOI10.3934/math.2022025zbMath1485.35286OpenAlexW3206385254MaRDI QIDQ2129740
Sahar Ahmed Idris, Bahri Belkacem Cherif, Abdelbaki Choucha, Muajebah Hidan
Publication date: 25 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2022025
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial value problems for first-order hyperbolic systems (35L45) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Cites Work
- Unnamed Item
- Blow up in a nonlinear viscoelastic wave equation with strong damping
- Systems of nonlinear wave equations with damping and source terms.
- Blow-up of solutions of a nonlinear viscoelastic wave equation
- General decay of energy for a viscoelastic equation with damping and source terms
- General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
- Existence of a solution of the wave equation with nonlinear damping and source terms
- General decay for a viscoelastic problem with not necessarily decreasing kernel
- Exponential stability of swelling porous elastic with a viscoelastic damping and distributed delay term
- Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
- A general stability result for second order stochastic quasilinear evolution equations with memory
- Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan-Taylor damping
- Blow-up of solutions for a quasilinear system with degenerate damping terms
- On a couple of nonlocal singular viscoelastic equations with damping and general source terms: blow-up of solutions
- Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Exponential growth of solutions with Lp -norm of a nonlinear viscoelastic hyperbolic equation
- Foundations of Linear Viscoelasticity
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity
- General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
- Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
- On decay and blow-up of solutions for a system of equations
- General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity
- General decay for a class of viscoelastic problem with not necessarily decreasing kernel
This page was built for publication: Growth of solutions with \(L^{2(p+2)} \)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms
