Global existence and general decay of solutions for a quasilinear system with degenerate damping terms

DOI10.1155/2021/4316238zbMath1472.35239OpenAlexW3173376297MaRDI QIDQ1983346

Fatma Ekinci, Ibrahim Mekawy, Salah Mahmoud Boulaaras, Erhan Pişkin

Publication date: 10 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4316238

zbMATH Keywords

viscoelastic equationsdegenerate dampingdispersion, source terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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Global existence of solutions for a coupled viscoelastic plate equation with degenerate damping terms ⋮ Blow-up of solutions for a quasilinear system with degenerate damping terms ⋮ Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term. ⋮ Blowing up for the \(p\)-Laplacian parabolic equation with logarithmic nonlinearity

Cites Work

• General decay of solutions of a nonlinear system of viscoelastic wave equations
• General decay of solutions for a viscoelastic equation with nonlinear damping and source terms
• Global nonexistence of positive initial energy solutions for a 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
• A general stability result for second order stochastic quasilinear evolution equations with memory
• On decay of solutions for a system of coupled viscoelastic equations
• General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms
• Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms
• On decay and blow-up of solutions for a system of equations
• General decay and blowup of solutions for coupled viscoelastic equation of Kirchhoff type with degenerate damping terms
• Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
• Uniform stabilization of solutions of a nonlinear system of viscoelastic equations
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