On decay and blow-up of solutions for a system of nonlinear wave equations

DOI10.1016/j.jmaa.2012.04.054zbMath1258.35034OpenAlexW2086495491MaRDI QIDQ439271

Shun-Tang Wu

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.054

zbMATH Keywords

stable setglobal existencedecay ratelife spandamping and source termsunstable setviscoelastic wave equations of Kirchhoff type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (11)

Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term ⋮ On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms ⋮ General decay and blow-up for coupled Kirchhoff wave equations with dynamic boundary conditions ⋮ Well-posedness and global attractor of Kirchhoff equation with memory term and thermal effect ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ General decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping ⋮ On the decay and blow-up of solution for coupled nonlinear wave equations with nonlinear damping and source terms ⋮ Global well-posedness for a class of Kirchhoff-type wave system ⋮ Unnamed Item ⋮ Global existence and blowup of solutions for nonlinear coupled wave equations with viscoelastic terms ⋮ Unnamed Item

Cites Work

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