Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems

B. Feng, M. M. Freitas, A. L. C. Costa and M. L. Santos

Mathematische Nachrichten, 2024, vol. 297, issue 1, 284-301

Abstract: 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.

Date: 2024
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https://doi.org/10.1002/mana.202200558

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