This paper is concerned with a blow-up criterion of strong solutions for the chemotaxis-fluid equations in three-dimensional whole space. The so-called Cole-Hopf type transformation is used to remove the singularity at $c=0$ caused by the chemotactic sensitivity function. Then, the Serrin’s type blow-up criterion is obtained for the existence of strong solutions to the transformed system.

中文翻译：

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耦合的趋化流体方程的爆破准则。 ${\mathbb{[R}}^3$

本文涉及三维整体空间中趋化流体方程强解的爆破判据。所谓的Cole-Hopf类型转换用于消除奇点$C=0$由趋化敏感性功能引起。然后，针对转换后系统的强解的存在，获得了Serrin型爆炸准则。