Exponential decay for nonlinear von Kármán equations with memory

DOI10.1155/2013/484596zbMath1293.35041OpenAlexW2043120302WikidataQ58916404 ScholiaQ58916404MaRDI QIDQ2015588

Jum-Ran Kang

Publication date: 23 June 2014

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

Full work available at URL: https://doi.org/10.1155/2013/484596

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Higher-order semilinear hyperbolic equations (35L76)

Related Items

Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions ⋮ Asymptotic limits and stabilization for the 2D nonlinear Mindlin-Timoshenko system ⋮ Energy decay rate for a von Karman system with a boundary nonlinear delay term

Cites Work

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• Energy decay rates for von Kármán system with memory and boundary feedback
• General decay to a von Kármán system with memory
• Decay rate estimates for wave equations of memory type with acoustic boundary conditions
• General decay to a von Kármán plate system with memory boundary conditions.
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• On convexity for energy decay rates of a viscoelastic equation with boundary feedback
• Uniform decay of solutions for a quasilinear system of viscoelastic equations
• Global decay rates for the solutions to a von Kármán plate without geometric conditions
• 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 attractors for von Karman evolutions with a nonlinear boundary dissipation.
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
• Exponential and polynomial decay for a quasilinear viscoelastic equation
• General decay of solutions of a viscoelastic equation
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Asymptotic behavior to a von Kármán plate with boundary memory conditions
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• Exponential decay for a quasilinear viscoelastic equation
• Decay rates of solutions to a von Kármán system for viscoelastic plates with memory
• Boundary Stabilization for the von Kármán Equations
• Exponential decay for a von Kármán equations with memory
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping
• General decay of energy for a viscoelastic equation with nonlinear damping
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping