Upper semi-continuity of pullback attractors for bipolar fluids with delay
We investigate bipolar fluids with delay in a $ 2D $ channel $ \Sigma = \mathbb{R}\times (-K, K) $ for some $ K > 0 $. The channel $ \Sigma $ is divided into a sequence of simply connected, bounded, and smooth sub-domains $ \Sigma_n (n = 1, 2, 3\cdot\cdot\cdot) $, such that $ \Sigma_n\rightar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-09-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023305?viewType=HTML |
| Summary: | We investigate bipolar fluids with delay in a $ 2D $ channel $ \Sigma = \mathbb{R}\times (-K, K) $ for some $ K > 0 $. The channel $ \Sigma $ is divided into a sequence of simply connected, bounded, and smooth sub-domains $ \Sigma_n (n = 1, 2, 3\cdot\cdot\cdot) $, such that $ \Sigma_n\rightarrow \Sigma $ as $ n\rightarrow \infty $. The paper demonstrates that the pullback attractors in the sub-domains $ \Sigma_n $ converge to the pullback attractor in the entire domain $ \Sigma $ as $ n\rightarrow \infty. $ |
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| ISSN: | 2688-1594 |