In this paper, we study a three-dimensional chemotaxis-Navier–Stokes system which characterizes the fertilization process of coral. It is proved that in the context of the nonlinear diffusion of cells with the index the corresponding initial-boundary problem is globally solvable in the weak sense.

中文翻译：

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模拟珊瑚受精的三维退化趋化性-Navier-Stokes 系统中的全局弱解

在本文中，我们研究了表征珊瑚受精过程的三维趋化性-Navier-Stokes 系统。证明了在具有指数的细胞非线性扩散的背景下，相应的初始边界问题在弱意义上是全局可解的。