Asymptotic energy estimates for nonlinear Petrovsky plate model subject to viscoelastic damping

DOI10.1155/2012/419717zbMath1253.74054OpenAlexW2112479086WikidataQ58696588 ScholiaQ58696588MaRDI QIDQ696077

Fu Shan Li, Xiu-Li Lin

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/419717

zbMATH Keywords

nonlinear Petrovsky plate model

Mathematics Subject Classification ID

Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term ⋮ Stabilization by memory effects: Kirchhoff plate versus Euler-Bernoulli plate ⋮ Decay result for a delay viscoelastic plate equation ⋮ General stability result for a viscoelastic plate equation with past history and general kernel ⋮ GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK ⋮ Unnamed Item ⋮ A nonlinear viscoelastic plate equation with \(\vec{p} ( x , t )\)-Laplace operator: blow up of solutions with negative initial energy ⋮ Dynamic properties of a nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions. I ⋮ Unnamed Item

Cites Work

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• Global nonexistence for a semilinear Petrovsky equation
• On global solutions and blow-up of solutions for a nonlinearly damped Petrovsky system
• Optimal escapement levels in stochastic and deterministic harvesting models
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• Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
• Global existence and uniqueness of weak solution to nonlinear viscoelastic full marguerre-von kármán shallow shell equations
• Decay estimates for second order evolution equations with memory
• Uniform decay rates for nonlinear viscoelastic Marguerre-von Kármán equations
• Global existence and blow-up of solutions for a strongly damped Petrovsky system with nonlinear damping
• Weak, classical and intermediate solutions to full von karman system of dynamic nonlinear elasticity
• Global existence and nonexistence in a system of Petrovsky

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