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Pullback $ \mathcal{D} $-attractors of the three-dimensional non-autonomous micropolar equations with damping
Author(s) -
Xiaojie Yang,
Hui Liu,
Haiyun Deng,
Chengfeng Sun
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022017
Subject(s) - pullback attractor , attractor , pullback , domain (mathematical analysis) , term (time) , mathematics , mathematical analysis , physics , pure mathematics , mathematical physics , quantum mechanics
In this paper, we consider the three-dimensional non-autonomous micropolar equations with damping term in periodic domain $ \mathbb{T}^{3} $. By assuming external forces satisfy certain condtions, the existence of pullback $ \mathcal{D} $-attractors for the three-dimensional non-autonomous micropolar equations with damping term is proved in $ V_{1}\times V_{2} $ and $ H^{2}\times H^{2} $ with $ 3 < \beta < 5 $.

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