Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system

Araruna, F. D.; Borges, Jonatas Emmanuel

doi:10.14232/ejqtde.2008.1.34

Cited by 3 publications

(1 citation statement)

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“…Since this formulation is substantially more accurate at high frequencies describing thicker plates, the RMT model has attracted a lot of research efforts. There is an extensive literature together with many contributions related to the existence, stabilization and asymptotic limit of models based on these theories, see, for instance, [1–4, 14, 16–20, 27–29, 32, 36], among others, by employing some kinds of dissipative mechanisms, for example, feedback boundary damping, boundary damping of memory type, viscous damping, locally distributed damping, or thermal damping into the model.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems

Feng

Freitas

Costa

et al. 2023

Mathematische Nachrichten

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The problem of Reissner–Mindlin–Timoshenko plate systems with nonlinear damping terms is considered. The main result is the existence of global attractors. By showing the system is gradient and asymptotic smoothness via a stabilizability inequality, we establish the existence of global attractors with finite fractal dimension. The continuity of global attractors regarding the parameter in a residual dense set is also proved. The above results allow the damping terms with polynomial growth.

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Section: Introductionmentioning

confidence: 99%