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

DOI10.1080/00036811.2019.1689562zbMath1479.35099OpenAlexW2982765988MaRDI QIDQ5155313

Luofei He

Publication date: 6 October 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1689562

zbMATH Keywords

relaxation functiongeneral decaycoupled viscoelastic equations

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 (3)

Growth of solutions with \(L^{2(p+2)} \)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms ⋮ Blow-up of solutions for a quasilinear system with degenerate damping terms ⋮ Global existence and general decay of solutions for a quasilinear system with degenerate damping terms

Cites Work

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• Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms
• Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
• 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
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Global well-posedness for strongly damped viscoelastic wave equation
• Global nonexistence of positive initial energy solution for coupled quasilinear system

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