Robustness of global attractors for extensible coupled suspension bridge equations with fractional damping
DOI10.1007/s00245-021-09774-8zbMath1477.35256OpenAlexW3154017990MaRDI QIDQ2238963
Publication date: 2 November 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-021-09774-8
perturbationsupper semicontinuityglobal attractorsfractional dampingextensible coupled suspension bridge
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Vibrations in dynamical problems in solid mechanics (74H45) Fractional derivatives and integrals (26A33) Applications of Lie groups to the sciences; explicit representations (22E70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Dynamical aspects of attractors and their bifurcations (37G35) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity
- Attractors and their properties for a class of nonlocal extensible beams
- Existence of global attractors for the coupled system of suspension bridge equations
- Existence of strong solutions and global attractors for the coupled suspension bridge equations
- Attractors and long-time behavior of von Kármán thermoelastic plates
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Geometric theory of semilinear parabolic equations
- Attractors for second-order evolution equations with a nonlinear damping
- Attractors for strongly damped wave equations with critical nonlinearities.
- Existence and upper-semicontinuity of global attractors for binary mixtures solids with fractional damping
- Global and exponential attractors for extensible thermoelastic plate with time-varying delay
- The global attractor for a class of extensible beams with nonlocal weak damping
- Upper semicontinuity of pullback attractors for non-autonomous Kirchhoff wave equations
- Longtime dynamics of Boussinesq type equations with fractional damping
- Long-time dynamics for a fractional piezoelectric system with magnetic effects and Fourier's law
- Longtime dynamics for a type of suspension bridge equation with past history and time delay
- Global attractor for suspension bridge equations with memory
- Structurally damped elastic waves in 2D
- Global attractors for the suspension bridge equations with nonlinear damping
- Long-time behavior of second order evolution equations with nonlinear damping
- Von Karman Evolution Equations
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
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