Nonclassical reaction-diffusion equations mainly stem from non-Newtonian flows, solid mechanics, and heat conduction theories. The longtime behavior and asymptotic structure of solutions to these equations are important. We study the asymptotic structure of time-dependent global attractors $A_{t}$ associated with the nonclassical reaction-diffusion equations in this paper, and obtain the further regularity of attractors. All these extend and develop the result reported by T.Ding and Y.F.Liu in 2015.
