Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

DOI10.1186/1687-2770-2011-22zbMath1272.35142OpenAlexW2105129872WikidataQ59268851 ScholiaQ59268851MaRDI QIDQ359538

Fei Liang, Hong-Jun Gao

Publication date: 12 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-22

zbMATH Keywords

Dirichlet boundary conditionspositive initial energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Linear constitutive equations for materials with memory (74D05) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (9)

On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms ⋮ A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy ⋮ Blow up in a nonlinear viscoelastic wave equation with strong damping ⋮ Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution ⋮ On decay and blow-up of solutions for a system of nonlinear wave equations ⋮ General decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping ⋮ General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms ⋮ Global well-posedness for a class of Kirchhoff-type wave system ⋮ Unnamed Item

Cites Work

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• Blow up and global existence in a nonlinear viscoelastic wave equation
• On the standing wave in coupled non-linear Klein-Gordon equations
• Global existence and uniform stability of solutions for a quasilinear viscoelastic problem

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