Asymptotic limits and stabilization for the 2D nonlinear Mindlin-Timoshenko system
From MaRDI portal
Publication:1683612
DOI10.2140/apde.2018.11.351zbMath1375.35534OpenAlexW2768632456MaRDI QIDQ1683612
Pablo Braz e Silva, Pammella Queiroz-Souza, Fágner Dias Araruna
Publication date: 1 December 2017
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/apde.2018.11.351
Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros ⋮ Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping ⋮ Controllability of a thermoelastic system ⋮ Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems
Cites Work
- Unnamed Item
- Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
- Stability to weak dissipative Bresse system
- Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks
- Stabilization of the nonuniform Timoshenko beam
- Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits
- Reinforcement of a Mindlin-Timoshenko plate by a thin layer
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
- Energy decay for Timoshenko systems of memory type.
- Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
- The beam equation as a limit of a 1-D nonlinear von Kármán model
- Exponential decay for nonlinear von Kármán equations with memory
- Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
- Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions
- Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity
- Decay rates for Bresse system with arbitrary nonlinear localized damping
- Modeling of the nonlinear vibrations of a stiffened moderately thick plate
- Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- On the stability of Mindlin–Timoshenko plates
- Boundary Control of the Timoshenko Beam
- Weak, classical and intermediate solutions to full von karman system of dynamic nonlinear elasticity
- Local exponential stabilization for a nonlinearly perturbed von Kármán plate
- Stabilisation de la poutre de Timoshenko
- Estimations explicites sur le taux de décroissance exponentielle pour le système de von Kármán de plaques thermoélastiques
- Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates
- Timoshenko's beam equation as limit of a nonlinear one-dimensional von Kármán system
- Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin–Timoshenko System
