Global existence and decay for a system of two singular one-dimensional nonlinear viscoelastic equations with general source terms

DOI10.1080/00036811.2020.1760250zbMath1485.35298OpenAlexW3022955655MaRDI QIDQ3389506

Rafik Guefaifia, Salah Mahmoud Boulaaras, Nadia Mezouar

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.1080/00036811.2020.1760250

zbMATH Keywords

global existenceLyapunov functionalgeneral decayviscoelastic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Singular hyperbolic equations (35L81)

Related Items (11)

New general decay result for a system of two singular nonlocal viscoelastic equations with general source terms and a wide class of relaxation functions ⋮ Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions ⋮ Blow up of solutions for a nonlinear viscoelastic system with general source term ⋮ Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ Global existence and decay for a system of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms ⋮ Polynomial decay rate for a coupled Lamé system with viscoelastic damping and distributed delay terms ⋮ On a couple of nonlocal singular viscoelastic equations with damping and general source terms: blow-up of solutions ⋮ Unnamed Item ⋮ Global existence for two singular one-dimensional nonlinear viscoelastic equations with respect to distributed delay term ⋮ Unnamed Item ⋮ Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms

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