Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms

DOI10.1007/s11464-010-0060-2zbMath1223.35219OpenAlexW2144258296MaRDI QIDQ610724

Wenjun Liu

Publication date: 10 December 2010

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-010-0060-2

zbMATH Keywords

Dirichlet boundary conditionsexponential decay

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (11)

FINITE TIME BLOW-UP FOR THE NONLINEAR FOURTH-ORDER DISPERSIVE-DISSIPATIVE WAVE EQUATION AT HIGH ENERGY LEVEL ⋮ Long-time stabilization of solutions to a nonautonomous semilinear viscoelastic equation ⋮ On existence, uniform decay rates, and blow-up for solutions of a nonlinear wave equation with dissipative and source ⋮ On decay of solutions for a system of coupled viscoelastic equations ⋮ Global nonexistence for a nonlinear viscoelastic equation with nonlinear damping and velocity-dependent material density ⋮ Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term ⋮ Asymptotic stability of solutions to a semilinear viscoelastic equation with analytic nonlinearity ⋮ On decay and blow-up of solutions for a system of equations ⋮ General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source ⋮ Global well-posedness for a class of Kirchhoff-type wave system ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms

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