Pullback $ \mathcal{D} $-attractors of the three-dimensional non-autonomous micropolar equations with damping

Xiaojie Yang; Hui Liu; Haiyun Deng; Chengfeng Sun; Xiaojie Yang; Hui Liu; Haiyun Deng; Chengfeng Sun

doi:10.3934/era.2022017

Electronic Research Archive

2022, Volume 30, Issue 1: 314-334. doi: 10.3934/era.2022017

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Research article

Pullback $ \mathcal{D} $-attractors of the three-dimensional non-autonomous micropolar equations with damping

1.
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China
2.
Department of Applied Mathematics, Nanjing Audit University, Nanjing, 211815, China
3.
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210023, China

Received: 11 August 2021 Revised: 10 October 2021 Accepted: 10 October 2021 Published: 11 January 2022

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 $.
- micropolar equations,
- damping,
- pullback $ \mathcal{D} $-attractors,
- non-autonomous,
- periodic domain
Citation: Xiaojie Yang, Hui Liu, Haiyun Deng, Chengfeng Sun. Pullback $ \mathcal{D} $-attractors of the three-dimensional non-autonomous micropolar equations with damping[J]. Electronic Research Archive, 2022, 30(1): 314-334. doi: 10.3934/era.2022017

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Abstract

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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