中文摘要：

非经典扩散方程主要源自非牛顿流体、固体力学以及热传导理论.这类方程解的长时间行为及其渐近结构是一个重要的问题.文章研究了非经典扩散方程时间依赖吸引子At的渐近结构,并获得了该吸引子的一个正则性结果,推广和发展了2015年丁涛和刘永峰给出的一个结论.

英文摘要：

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 At associated with the nonclassical reaction-diffusion equations in this paper,and obtain the further regularity of attractors.All these extend and develop the results reported by T.Ding and Y.F.Liu in 2015.