Asymptotic behavior to a von Kármán plate with boundary memory conditions

DOI10.1016/J.NA.2005.04.025zbMath1132.35085OpenAlexW2158544072MaRDI QIDQ2567215

Higidio Portillo Oquendo, Mauro Lima Santos, Jaime Edilberto Muñoz Rivera

Publication date: 29 September 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.04.025

zbMATH Keywords

asymptotic behaviorexponential decaypolynomial decaymemory dissipationvon Kármán-Kirchhoff plate

Mathematics Subject Classification ID

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

Related Items (28)

General decay of solutions of a Bresse system with viscoelastic boundary conditions ⋮ General stability for a von Kármán plate system with memory boundary conditions ⋮ A general stability for a von Kármán system with memory ⋮ Attractors for a von Karman equation with memory ⋮ Asymptotic behavior to a von Kármán equations of memory type with acoustic boundary conditions ⋮ General decay for the degenerate equation with a memory condition at the boundary ⋮ General decay to a von Kármán system with memory ⋮ Unnamed Item ⋮ General decay of the solution to a nonlinear viscoelastic beam with delay ⋮ General decay for a von Karman equation of memory type with acoustic boundary conditions ⋮ Control of a flexible satellite with an internal nonlinear disturbance ⋮ Arbitrary decay for a von Karman system with memory ⋮ Energy decay rates for von Kármán system with memory and boundary feedback ⋮ Existence of global attractors for the nonlinear plate equation with memory term ⋮ Unnamed Item ⋮ Unnamed Item ⋮ General decay of a von karman plate equation with memory on the boundary ⋮ Exponential decay for a von Kármán equations with memory ⋮ General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions ⋮ Arbitrary decay rates of energy for a von Karman equation of memory type ⋮ Uniform decay of solutions for von Karman equations of dynamic viscoelasticity with memory ⋮ Exponential decay for a von Kármán equations of memory type with acoustic boundary conditions ⋮ Exponential decay for nonlinear von Kármán equations with memory ⋮ Adaptive stabilization of a von Karman plate equation with a boundary output feedback control ⋮ New general decay results for a von Karman plate equation with memory-type boundary conditions ⋮ Global attractor for an extensible beam equation with localized nonlinear damping and linear memory ⋮ Energy decay rates for a hyperbolic differential inclusion with viscoelastic boundary conditions ⋮ Blow-up results for a quasilinear von Karman equation of memory type

Cites Work

• Uniform decay of weak solutions to a von Kármán plate with nonlinear boundary dissipation
• Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback
• Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
• Global existence of classical solutions to the dynamical von Kármán equations
• Decay rates of solutions to a von Kármán system for viscoelastic plates with memory
• Boundary Stabilization for the von Kármán Equations
• STRONG SOLUTIONS AND THE ATTRACTOR OF THE VON KÁRMÁN EQUATIONS
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