Dynamics of non-autonomous stochastic rotational inertia and Kelvin-Voigt dissipative plate equations with Laplace-multiplier noise

In this paper, we investigate the asymptotic dynamics of a non-autonomous stochastic rotational inertia andKelvin-Voigt dissipative plate equationwith multiplicative noise. The noise is multiplied by a Laplace operator which is unbounded. We establish the existence and upper semi-continuity of pullback attractors in H-2(O) x H-0(1)(O), and, in particular, the upper semi-continuity is proved to be uniform for sections located in finite time. To overcome the technical difficulty arising from the low regularity of solutions and from the high-order term Delta(2)u involved in the equation, a decomposition technique of the solution operator is employed to derive the crucial pullback limit-set compactness of the system. The theoretical result of this paper can be regarded as a complement of the previous work (Yin and Xu in Math Methods Appl Sci 43:4486-4517, 2020) on the upper semi-continuity of pullback attractors, where a uniformity in time parameter (rather than in sections of the attractor) was studied.