Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback
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Publication:2028976
DOI10.3934/dcdsb.2020147zbMath1465.35059OpenAlexW3022214685MaRDI QIDQ2028976
Publication date: 3 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020147
global attractorabsorbing setasymptotic smoothnessnonlinear frictional dampingnonlinear time-delay damping
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Related Items (7)
General decay for a wave equation with Wentzell boundary conditions and nonlinear delay terms ⋮ Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights ⋮ Equivalence between internal observability and exponential stabilization for suspension bridge problem ⋮ Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input ⋮ Global well‐posedness of the 3D primitive equations with only horizontal eddy diffusivity and delays in both convective and heat source terms ⋮ Global well-posedness of the three-dimensional viscous primitive equations with bounded delays ⋮ Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
Cites Work
- Unnamed Item
- Unnamed Item
- A partially hinged rectangular plate as a model for suspension bridges
- Uniform attractors for non-autonomous suspension bridge-type equations
- Finite time blow-up and global solutions for fourth order damped wave equations
- Global existence and energy decay of solutions to a nonlinear Timoshenko beam system with a delay term
- Finite-dimensional attractors for the Kirchhoff equation with a strong dissipation
- Global attractor for the Kirchhoff type equation with a strong dissipation
- Exponential stability of the wave equation with boundary time-varying delay
- A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor
- Global attractor for a model of extensible beam with nonlinear damping and source terms
- Global attractors for wave equations with nonlinear interior damping and critical exponents
- Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping
- Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions
- Global existence and energy decay of solutions to a viscoelastic wave equation with a delay term in the non-linear internal feedback
- Global attractor for hyperbolic equation with nonlinear damping and linear memory
- Global attractor for a nonlinear wave equation arising in elastic waveguide model
- Nonlinear oscillations in a suspension bridge
- Infinite-dimensional dynamical systems in mechanics and physics
- Stabilization of a suspension bridge with locally distributed damping
- Long-time behavior for suspension bridge equations with time delay
- Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms
- Attractors for second-order evolution equations with a nonlinear damping
- Global attractors for von Kármán equations with nonlinear interior dissipation
- Global attractor for plate equation with nonlinear damping
- Bending and stretching energies in a rectangular plate modeling suspension bridges
- Long-time behavior of a class of thermoelastic plates with nonlinear strain
- Finite dimensional global attractor for a suspension bridge problem with delay
- Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
- Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks
- Global attractors for the suspension bridge equations with nonlinear damping
- Long-time behavior of second order evolution equations with nonlinear damping
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Large Torsional Oscillations in Suspension Bridges Visited Again: Vertical Forcing Creates Torsional Response
- Nonlinear Structural Mechanics
- Nonlinearity in oscillating bridges
- Modeling suspension bridges through the von Kármán quasilinear plate equations
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