@article{Liu2023, 
author = {Guowei Liu and Hao Xu and Caidi Zhao},
title = {Upper semi-continuity of pullback attractors for bipolar fluids with delay},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {10},
pages = {5996-6011},
keywords = {bipolar fluid, delay, pullback attractor, upper semi-continuity},
url = {https://www.sciopen.com/article/10.3934/era.2023305},
doi = {10.3934/era.2023305},
abstract = {We investigate bipolar fluids with delay in a    2  D channel    Σ  =      R    ×  (  −  K  ,  K  ) for some    K  &gt;  0. The channel    Σ is divided into a sequence of simply connected, bounded, and smooth sub-domains        Σ    n    (  n  =  1  ,  2  ,  3  ⋅  ⋅  ⋅  ), such that        Σ    n    →  Σ as    n  →  ∞. The paper demonstrates that the pullback attractors in the sub-domains        Σ    n   converge to the pullback attractor in the entire domain    Σ as    n  →  ∞  .}
}