@article{Liu2023, 
author = {Tingting Liu and Tasneem Mustafa Hussain Sharfi and Qiaozhen Ma},
title = {Time-dependent asymptotic behavior of the solution for evolution equation with linear memory},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16208-16227},
keywords = {linear memory, time-dependent global attractor, regularity, asymptotic structure},
url = {https://www.sciopen.com/article/10.3934/math.2023829},
doi = {10.3934/math.2023829},
abstract = {In this article, by using the operator decomposition technique, we discuss the existence of a time-dependent global attractor for a nonlinear evolution equation with linear memory within the theory of time-dependent space. Furthermore, the regularity and asymptotic structure of the time-dependent attractor are proved, which means that the time-dependent attractor of the evolution equation converges to the attractor of the limit wave equation when the coefficient    ε  (  t  )  →  0 as    t  →  ∞.}
}