Existence and regularity of pullback attractors for a non-Newtonian fluid with delays in 2D unbounded domains

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/eect.2023050

Guowei Liu, Hao Xu, Caidi Zhao

引用次数: 0

Abstract

This paper studies a non-autonomous incompressible non-Newtonian fluid with delay in a 2D unbounded domain. The existence of pullback $ \mathcal{D} $ attractor with $ \mathbb{H}^2 $ regularity is obtained and its relationship with the pullback $ \mathcal{D} $ attractor with $ \mathbb{L}^2 $ regularity obtained in [25] is also shown. This fact exhibits the pullback smoothing effect of the fluid with delays.

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二维无界区域上具有时滞的非牛顿流体的拉回吸引子的存在性和规律性

研究了二维无界区域上非自治不可压缩非牛顿流体的时滞问题。得到了具有$ \mathbb{H}^2 $正则性的回拉$ \mathcal{D} $吸引子的存在性，并给出了它与文献[25]中得到的具有$ \mathbb{L}^2 $正则性的回拉$ \mathcal{D} $吸引子的关系。这一事实显示了具有延迟的流体的回拉平滑效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.