具有临界和亚临界质量的二维patak - keller - segel - navier - stokes系统自由能解的整体存在性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-20 DOI:10.1512/iumj.2023.72.9304

Chen-Chih Lai, Juncheng Wei, Yifu Zhou

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引用次数: 5

摘要

我们考虑$\mathbb{R}^2$中的耦合patak - keller - segel - navier - stokes系统，该系统描述细胞和流体流动的集体运动，其中细胞被化学物质吸引并通过环境流体速度运输，流体流动由细胞引起的摩擦强迫。本文的主要结果是证明了具有临界和亚临界质量的二维patak - keller - segel - navier - stokes系统的自由能解的全局存在性。

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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Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass

We consider a coupled Patlak-Keller-Segel-Navier-Stokes system in $\mathbb{R}^2$ that describes the collective motion of cells and fluid flow, where the cells are attracted by a chemical substance and transported by ambient fluid velocity, and the fluid flow is forced by the friction induced by the cells. The main result of the paper is to show the global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass.

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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.

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