Pullback attractors for a class of non-autonomous thermoelastic plate systems

In this article we study the asymptotic behavior of solutions, in sense of global pullback attractors, of the evolution system $$\{\begin{array}{ll}{u}_{tt}+\eta {\mathrm{\Delta }}^{2}u+a(t)\mathrm{\Delta }\theta =f(t,u),& t>\tau ,x\in \mathrm{\Omega },\\ {\theta }_t-\kappa \mathrm{\Delta }\theta -a(t)\mathrm{\Delta }{u}_t=0,& t>\tau ,x\in \mathrm{\Omega },\end{array}$$ subject to boundary conditions $$u=\mathrm{\Delta }u=\theta =0,t>\tau ,x\in \mathrm{\partial }\mathrm{\Omega },$$ where $\mathrm{\Omega }$ is a bounded domain in ${\mathbb{R}}^N$ with $N⩾2$, which boundary $\mathrm{\partial }\mathrm{\Omega }$ is assumed to be a ${\mathcal{C}}^4$-hypersurface, $\eta >0$ and $\kappa >0$ are constants, $a$ is an H"older continuous function, $f$ is a dissipative nonlinearity locally Lipschitz in the second variable.