Plate equations with frictional and viscoelastic dampings

DOI10.1080/00036811.2016.1178724zbMath1378.35186OpenAlexW2346341601WikidataQ58130693 ScholiaQ58130693MaRDI QIDQ5269401

Ghassan A. Abusharkh, Muhammad I. Mustafa

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1080/00036811.2016.1178724

zbMATH Keywords

general decay

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Plates (74K20) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Related Items (9)

General decay of energy for a viscoelastic wave equation with a distributed delay term in the nonlinear internal dambing ⋮ Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term ⋮ Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects ⋮ Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay ⋮ Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings ⋮ Asymptotic stability of energy for a weak viscoelastic plate equation with complementary frictional damping ⋮ General stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedback ⋮ Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings ⋮ Stability for locally coupled wave-type systems with indirect mixed-type dampings

Cites Work

• Energy decay rates for a Timoshenko system with viscoelastic boundary conditions
• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• General decay estimate of energy for the second order evolution equations with memory
• Energy decay rate for a coupled hyperbolic system with nonlinear damping
• Nonlinear boundary feedback stabilization for a semilinear Kirchhoff plate with dissipation acting only via moments-limiting behavior
• On the nonlinear boundary stabilization of Kirchhoff plates
• Decay rates for viscoelastic plates with memory
• Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
• Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
• A general method for proving sharp energy decay rates for memory-dissipative evolution equations
• Decay estimates for second order evolution equations with memory
• General decay of solutions of a viscoelastic equation
• Energy decay estimates for the damped plate equation with a local degenerated dissipation
• Stabilization of Bernoulli--Euler Beams by Means of a Pointwise Feedback Force
• General stability result for viscoelastic wave equations
• 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
• A new method to obtain decay rate estimates for dissipative systems
• 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
• Note on intrinsic decay rates for abstract wave equations with memory

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