Longtime behavior for oscillations of an extensible viscoelastic beam with elastic external supply

zbMath1198.35029arXiv1102.1258MaRDI QIDQ3568031

Ivana Bochicchio, Elena Vuk

Publication date: 17 June 2010

Full work available at URL: https://arxiv.org/abs/1102.1258

zbMATH Keywords

exponential stabilityglobal attractorLyapunov functionalstrongly continuous semigroups

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability of topological dynamical systems (37B25) One-parameter semigroups and linear evolution equations (47D06) Bifurcation and buckling (74G60) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (7)

Stochastic stability of a viscoelastic column axially loaded by a white noise force ⋮ Sharp decay rates for a class of nonlinear viscoelastic plate models ⋮ Asymptotic behavior and numerical approximation of a double-suspended bridge system ⋮ Long-term dynamics of a viscoelastic suspension bridge ⋮ On the viscoelastic coupled suspension bridge ⋮ Steady-state solutions for a suspension bridge with intermediate supports ⋮ Analysis of a double Timoshenko beam model

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