Viscoelasticity versus nonlinear feedback in plate systems: optimal decay

DOI10.1080/00036811.2022.2107906zbMath1523.35053OpenAlexW4289519998MaRDI QIDQ6055910

Muhammad I. Mustafa

Publication date: 29 September 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2022.2107906

zbMATH Keywords

plate equationsviscoelastic dampingweak frictional dampingenergy decay rates

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Asymptotic stability in control theory (93D20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09)

Cites Work

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• General decay for Kirchhoff plates with a boundary condition of memory type
• Energy decay rates for von Kármán system with memory and boundary feedback
• Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
• Viscoelastic plate equation with boundary feedback
• General decay estimate of energy for the second order evolution equations with memory
• General energy decay rates for a weakly damped wave equation
• Energy decay rate for a coupled hyperbolic system with nonlinear damping
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Nonlinear boundary feedback stabilization for a semilinear Kirchhoff plate with dissipation acting only via moments-limiting behavior
• A new method to obtain decay rate estimates for dissipative systems with localized damping
• Decay rates for viscoelastic plates with memory
• A boundary condition with memory for Kirchhoff plate equations.
• Coupled second order semilinear evolution equations indirectly damped via memory effects
• Plate equations with viscoelastic boundary damping
• Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions
• A general method for proving sharp energy decay rates for memory-dissipative evolution equations
• General and optimal decay result for a viscoelastic problem with nonlinear boundary feedback
• On the general decay of a nonlinear viscoelastic plate equation with a strong damping and \(\vec{p}(x,t)\)-Laplacian
• Coupled second order evolution equations with fading memory: optimal energy decay rate
• Decay estimates for second order evolution equations with memory
• General decay of solutions of a viscoelastic equation
• Stabilization of Bernoulli--Euler Beams by Means of a Pointwise Feedback Force
• Energy decay of dissipative plate equations with memory-type boundary conditions
• Optimal decay rates for the viscoelastic wave equation
• General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• Asymptotic Decay for Some Differential Systems with Fading Memory
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory
• GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION

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