Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions

DOI10.1186/s13661-015-0381-xzbMath1338.35049OpenAlexW2169094668WikidataQ59430600 ScholiaQ59430600MaRDI QIDQ284146

Mi Jin Lee, Jong Yeoul Park, Yong Han Kang

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0381-x

zbMATH Keywords

exponential decay rateacoustic boundary conditioninfluence of kernel functionvon Karman equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order quasilinear hyperbolic equations (35L77)

Related Items

A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions ⋮ Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions ⋮ General decay of the solution to a nonlinear viscoelastic beam with delay ⋮ Control of a flexible satellite with an internal nonlinear disturbance ⋮ General decay of a von karman plate equation with memory on the boundary ⋮ Energy decay rate for a von Karman system with a boundary nonlinear delay term ⋮ Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• On the wave equation with semilinear porous acoustic boundary conditions
• Strong stability and uniform decay of solutions to a wave equation with semilinear porous acoustic boundary conditions
• General decay to a von Kármán system with memory
• Decay rate estimates for wave equations of memory type with acoustic boundary conditions
• Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions
• Uniform decay of solutions for a quasilinear system of viscoelastic equations
• Boundary stabilization of a 3-dimensional structural acoustic model
• Global attractors for von Karman evolutions with a nonlinear boundary dissipation.
• Uniform decay properties of a model in structural acoustics
• General decay for a von Karman equation of memory type with acoustic boundary conditions
• Exponential decay for nonlinear von Kármán equations with memory
• Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
• Exponential and polynomial decay for a quasilinear viscoelastic equation
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Wave Equation with Acoustic/Memory Boundary Conditions
• Uniform decay for a von Karman plate equation with a boundary memory condition
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• Exponential decay for a quasilinear viscoelastic equation
• Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
• Acoustic boundary conditions
• Decay rates of solutions to a von Kármán system for viscoelastic plates with memory
• Exponential Decay Rates for Structural Acoustic Model with an Overdamping on the Interface and Boundary Layer Dissipation
• Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains
• Abstract wave equations with acoustic boundary conditions
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping