On the stabilization of the Bresse beam with Kelvin-Voigt damping

DOI10.1007/s00245-019-09611-zzbMath1486.65166OpenAlexW2974918697MaRDI QIDQ2041021

Wael Youssef, Toufic El Arwadi

Publication date: 15 July 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09611-z

zbMATH Keywords

finite element discretizationKelvin-Voigt dampingBresse beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Linear constitutive equations for materials with memory (74D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic damping problem involving Bresse system ⋮ Asymptotic behavior of the transmission problem of the Bresse beam in thermoelasticity ⋮ Stabilization of Bresse system with thermodiffusion effects ⋮ Exponential stability for a thermoelastic Bresse system: Theoretical and numerical study ⋮ Bresse-Timoshenko type systems with thermodiffusion effects: well-possedness, stability and numerical results ⋮ Unnamed Item ⋮ Competitive double diffusive convection in a Kelvin-Voigt fluid of order one ⋮ Analysis of a contact problem for a viscoelastic Bresse system ⋮ Numerical analysis and simulation for a wave equation with dynamical boundary control ⋮ On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force ⋮ Existence and energy decay of a Bresse system with thermoelasticity of type III ⋮ The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization ⋮ A general decay estimate for a finite memory thermoelastic Bresse system.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The optimal decay rate for a weak dissipative Bresse system
• Uniform and weak stability of Bresse system with two infinite memories
• Stability to weak dissipative Bresse system
• On the observability of time-discrete conservative linear systems
• Energy decay rate of the thermoelastic Bresse system
• Modeling, analysis and control of dynamic elastic multi-link structures
• Exponential and polynomial decay in a thermoelastic-Bresse system with second sound
• A dynamic contact problem involving a Timoshenko beam model
• New stability results for a linear thermoelastic Bresse system with second sound
• A viscoelastic Timoshenko beam with dynamic frictionless impact
• Stabilization of a thermoelastic laminated beam with past history
• General decay rates for a laminated beam with memory
• New general decay results in a finite-memory Bresse system
• Stabilization of the uniform Timoshenko beam by one locally distributed feedback
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• Modelling of dynamic networks of thin thermoelastic beams
• Perturbation Expansion of Alt's Cell Balance Equations Reduces to Segel's One-Dimensional Equations for Shallow Chemoattractant Gradients
• Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
• Stabilization of a viscoelastic Timoshenko beam
• Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay
• Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
• Bresse system with infinite memories
• Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model