Uniform energy estimates for a semilinear evolution equation of the Mindlin-Timoshenko beam with memory
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Publication:1765033
DOI10.1016/S0895-7177(04)90531-6zbMath1064.74115MaRDI QIDQ1765033
Publication date: 22 February 2005
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)
Related Items (8)
Exponential stability of the linearized nonuniform Timoshenko beam ⋮ Upper semicontinuous attractors for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory ⋮ The longtime behavior of a nonlinear Reissner-Mindlin plate with exponentially decreasing memory kernels ⋮ Stability of a viscoelastic Timoshenko system with non-monotonic kernel ⋮ Long-time behavior for a class of semi-linear Viscoelastic Kirchhoff beams/plates ⋮ Viscoelastic Timoshenko beams with occasionally constant relaxation functions ⋮ Stabilization of a viscoelastic Timoshenko beam ⋮ Asymptotic stability for a laminated beam with structural damping and infinite memory
Cites Work
- Compact sets in the space \(L^ p(0,T;B)\)
- Infinite-dimensional dynamical systems in mechanics and physics.
- Dissipativity of a conserved phase-field system with memory
- Longtime behavior of a viscoelastic Timoshenko beam.
- On the dissipativity of a hyperbolic phase-field system with memory.
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- Well-posedness and longtime behavior of the phase-field model with memory in a history space setting
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
- Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).
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