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 1.2 2区数学 Q1 MATHEMATICS Indiana University Mathematics Journal 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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