Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay

DOI10.1007/s11045-021-00766-zzbMath1473.35048OpenAlexW3127918891MaRDI QIDQ2044527

Billal Lekdim, Ammar Khemmoudj

Publication date: 9 August 2021

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-021-00766-z

zbMATH Keywords

Lyapunov methodexponential decayviscoelastic dampingnonlinear tensiondistributed delay term

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Related Items (3)

Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms ⋮ Control of a flexible satellite with an internal nonlinear disturbance ⋮ Existence and exponential stabilization of an axial vibrations cable with time-varying length

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy decay for viscoelastic plates with distributed delay and source term
• Asymptotic behavior for a viscoelastic wave equation with a delay term
• General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term
• Stabilization of the wave equation with boundary or internal distributed delay.
• Global existence and energy decay of solutions to a viscoelastic wave equation with a delay term in the non-linear internal feedback
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• General decay of energy to a nonlinear viscoelastic two-dimensional beam
• Asymptotic stability of a viscoelastic problem with Balakrishnan-Taylor damping and time-varying delay
• Global well-posedness and stability for a viscoelastic plate equation with a time delay
• On an extensible beam equation with nonlinear damping and source terms
• General decay for a viscoelastic wave equation with density and time delay term in \(\mathbb{R}^n\)
• Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay
• Stability and dynamics of a weak viscoelastic system with memory and nonlinear time-varying delay
• Decay rate estimates for a weak viscoelastic beam equation with time-varying delay
• Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
• Well-posedness and exponential stability for a plate equation with time-varying delay and past history
• General decay of the solution to a nonlinear viscoelastic modified von-Kármán system with delay
• General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
• Decay estimates for second order evolution equations with memory
• General decay of solutions of a viscoelastic equation
• General decay of energy for a viscoelastic wave equation with a distributed delay term in the nonlinear internal dambing
• Global Existence and Uniform Decay of Solutions for a Coupled System of Nonlinear Viscoelastic Wave Equations with Not Necessarily Differentiable Relaxation Functions
• Foundations of Linear Viscoelasticity
• Stabilization of wave systems with input delay in the boundary control
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Existence and stabilization of a Kirchhoff moving string with a distributed delay in the boundary feedback

This page was built for publication: Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay