Dynamics of a one-dimensional non-autonomous laminated beam

In this paper is analyzed the pullback dynamics of a laminated beam model subject to fractional Laplacian dissipation, nonlinear source terms and non autonomous external forces. For each gamma exponent of the Laplacian in the open interval with endpoints 0 and 1/2, the model is well-posedness and th...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 538; no. 1; p. 128433
Main Authors Dos Santos, Manoel J., Freitas, Mirelson M., Feng, Baowei, Ramos, Anderson J.A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.10.2024
Subjects
Laminated beams
Non-autonomous dynamical system
Pullback attractors
Upper semicontinuity
Laminated beams
Non-autonomous dynamical system
Upper semicontinuity
Pullback attractors
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Summary:In this paper is analyzed the pullback dynamics of a laminated beam model subject to fractional Laplacian dissipation, nonlinear source terms and non autonomous external forces. For each gamma exponent of the Laplacian in the open interval with endpoints 0 and 1/2, the model is well-posedness and the evolution process associated to solutions of problem possesses a pullback attractor for a general basin of attraction. To conclude, we prove that the attractors are upper semicontinuous as γ tends to 0. The result is new and it is the first time when the non-autonomous laminated beam is studied.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2024.128433