Stability of Mindlin-Timoshenko plate with nonlinear boundary damping and boundary sources

DOI10.1016/j.jmaa.2016.11.077zbMath1378.35035OpenAlexW2557989568MaRDI QIDQ730238

Pei Pei

Publication date: 23 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.077

zbMATH Keywords

stabilitydecay ratespotential wellboundary dampingMindlin-Timoshenko plateasymptotic uniform energy decay ratesboundary sourcespotential well solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear boundary value problems for linear elliptic equations (35J65) Plates (74K20) Existence of solutions of dynamical problems in solid mechanics (74H20) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems ⋮ Energy decay of a viscoelastic wave equation with supercritical nonlinearities

Cites Work

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• Global well-posedness and stability of semilinear Mindlin-Timoshenko system
• Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations
• Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
• On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
• The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Saddle points and instability of nonlinear hyperbolic equations
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global existence and decay of energy for a nonlinear wave equation with \(p\)-Laplacian damping
• Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
• Global existence and decay of energy to systems of wave equations with damping and supercritical sources
• Finite-time blow-up and global solutions for some nonlinear parabolic equations.
• Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations
• On a structural acoustic model which incorporates shear and thermal effects in the structural component
• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
• On a structural acoustic model with interface a Reissner--Mindlin plate or a Timoshenko beam
• Global existence for the wave equation with nonlinear boundary damping and source terms
• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
• Strong stabilization of models incorporating the thermoelastic Reissner–Mindlin plate equations with second sound
• On a wave equation with supercritical interior and boundary sources and damping terms
• A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
• Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model
• A potential well theory for the heat equation with a nonlinear boundary condition
• Thickness-Shear and Flexural Vibrations of Crystal Plates

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