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Research Article | Open Access

Upper semi-continuity of pullback attractors for bipolar fluids with delay

Guowei Liu1( ), Hao Xu1, Caidi Zhao2
School of Mathematical Sciences, Chongqing Normal University, Chongqing 400047, China
Department of Mathematics, Wenzhou University, Wenzhou 325035, China
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Abstract

We investigate bipolar fluids with delay in a 2 D channel Σ = R × ( − K , K ) for some K > 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 → ∞ .

Keywords

bipolar fluiddelaypullback attractorupper semi-continuity

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Electronic Research Archive
Volume 31 Issue 10,
October 2023
Pages 5996-6011
DOI: 10.3934/era.2023305

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Cite this article:
Liu G, Xu H, Zhao C. Upper semi-continuity of pullback attractors for bipolar fluids with delay. Electronic Research Archive, 2023, 31(10): 5996-6011. https://doi.org/10.3934/era.2023305

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Received: 27 February 2023
Revised: 17 July 2023
Accepted: 03 August 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)