Dynamics of a one-dimensional non-autonomous laminated beam

Abstract

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.